A geometric progression is such that the 3rd term is nine times the 1st term while the 2nd term one twenty fourth of the 5th term.find its 4th term

Answer 1

"the 3rd term is nine times the 1st term" ---->ar^2 = 9a
r^2 = 9
r = ± 3

"the 2nd term one twenty fourth of the 5th term" ---> ar = (1/24)ar^4
24ar = ar^4
24 = r^3 <----- This contradicts the first condition in your question.

Fix your question.