Answer : To find: Four geometric Mean Given: The numbers 6 and 192

Formula used: (i) r   where n is the number of geometric mean

Let G1, G2, G3 and G4 be the three geometric mean

Then r

⇒ r = 2

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.