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Finding the Fourth Proportional to 32,129.70, 48,194.55 and 12,408.90

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Solution

The fourth proportional to 32,129.70, 48,194.55 and 12,408.90 is: 18,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.70 : 48,194.55 = 12,408.90 : x
  2. Step 2: Convert to fraction form
    32,129.70/48,194.55 = 12,408.90/x
  3. Step 3: Cross multiply
    32,129.70x = 48,194.55 × 12,408.90
  4. Step 4: Simplify right side
    32,129.70x = 598,041,351.50
  5. Step 5: Solve for x
    x = 598,041,351.50/32,129.70
  6. Step 6: Final answer
    x = 18,613.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.