I tried with this range: ...
The array entered formula (your first one) seems to add the numbers in bold
type (result is 4240). . . .
For those of us who see only plain text (by choice!), it's impossible to tell
which of your figures are in boldface. It appears you were totaling the 3rd,
7th, 11th and 15th entries. That wasn't quite what the OP seemed to be after.
. . . I cannot relate that to steveh's wish: "using this
formula to add every 4th value in a column". . . .
Depends on where you start. If you start at the topmost value, the result would
be 210, 2nd from top 2020, 3rd from top (what you did) 4240, and 4th from top
80. What was the top entry, 10, in your sample data in row 3 in your worksheet?
. . . I see no connection between
"4th" and the bold numbers. 40 is not the 4th cell and also not the 4th
number (it is the 3rd number), after that 100 is either the 2nd number or
the 4th cell etc. How does this work? Please enlighten me.
...
Dana winged it with regard to the precise MOD criteria. He should have stuck
with the OP's intent if not the OP's exact formulation. So
=SUMPRODUCT(Rng,--(MOD(ROW(Rng)-CELL("Row",Rng),4)=0))
This would pull every fourth row *STARTING* with the first row, so 1st, 5th,
9th, 13th, 17th, etc. That's controlled by the 0 in the formula above. If you
want to start with the 4th row, so 4th, 8th, 12th, etc., change 0 to 3.