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Finding the Fourth Proportional to 71,115.20, 106,759.20 and 53,446.40

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Solution

The fourth proportional to 71,115.20, 106,759.20 and 53,446.40 is: 80,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115.20 : 106,759.20 = 53,446.40 : x
  2. Step 2: Convert to fraction form
    71,115.20/106,759.20 = 53,446.40/x
  3. Step 3: Cross multiply
    71,115.20x = 106,759.20 × 53,446.40
  4. Step 4: Simplify right side
    71,115.20x = 5,705,894,906.88
  5. Step 5: Solve for x
    x = 5,705,894,906.88/71,115.20
  6. Step 6: Final answer
    x = 80,234.53

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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.