To find: Four geometric Mean
Given: The numbers 6 and 192
Formula used: r = \(\left(\frac{b}{a}\right)^{\frac{1}{n+1}}\), where n is the number of geometric mean
Let G1, G2, G3 and G4 be the three geometric mean
G1 = ar = 6×2 = 12
G2 = ar2= 6×22 = 24
G3 = ar3= 6×23 = 48
G4 = ar4= 6×24 = 96
Four geometric mean between 6 and 192 are 12, 24, 48 and 96.