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Finding the Fourth Proportional to 80,522.88, 120,793.92 and 38,940

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Solution

The fourth proportional to 80,522.88, 120,793.92 and 38,940 is: 58,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,522.88 : 120,793.92 = 38,940 : x
  2. Step 2: Convert to fraction form
    80,522.88/120,793.92 = 38,940/x
  3. Step 3: Cross multiply
    80,522.88x = 120,793.92 × 38,940
  4. Step 4: Simplify right side
    80,522.88x = 4,703,715,244.80
  5. Step 5: Solve for x
    x = 4,703,715,244.80/80,522.88
  6. Step 6: Final answer
    x = 58,414.64

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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.