The pattern involves multiplication by fractions: 12 × 2/3 = 8, 8 × 3/2 = 12, 12 × 8/3 = 32. The numerators and denominators follow a pattern: numerators are 2, 3, 8, 9 and denominators are 3, 2, 3, 2. Following the pattern: 32 × 9/2 = 144. The fraction pattern alternates between denominators of 2 and 3, with numerators increasing.