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Finding the Fourth Proportional to 253,737.60, 380,089.68 and 120,213.12

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Solution

The fourth proportional to 253,737.60, 380,089.68 and 120,213.12 is: 180,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,737.60 : 380,089.68 = 120,213.12 : x
  2. Step 2: Convert to fraction form
    253,737.60/380,089.68 = 120,213.12/x
  3. Step 3: Cross multiply
    253,737.60x = 380,089.68 × 120,213.12
  4. Step 4: Simplify right side
    253,737.60x = 45,691,766,312.60
  5. Step 5: Solve for x
    x = 45,691,766,312.60/253,737.60
  6. Step 6: Final answer
    x = 180,074.87

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1.5x scale

Why These Related Problems?

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