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Finding the Fourth Proportional to 71,581.20, 107,404.20 and 34,126.80

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Solution

The fourth proportional to 71,581.20, 107,404.20 and 34,126.80 is: 51,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,581.20 : 107,404.20 = 34,126.80 : x
  2. Step 2: Convert to fraction form
    71,581.20/107,404.20 = 34,126.80/x
  3. Step 3: Cross multiply
    71,581.20x = 107,404.20 × 34,126.80
  4. Step 4: Simplify right side
    71,581.20x = 3,665,361,652.56
  5. Step 5: Solve for x
    x = 3,665,361,652.56/71,581.20
  6. Step 6: Final answer
    x = 51,205.65

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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.