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Finding the Fourth Proportional to 71,404.43, 107,085.05 and 21,471.27

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Solution

The fourth proportional to 71,404.43, 107,085.05 and 21,471.27 is: 32,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,404.43 : 107,085.05 = 21,471.27 : x
  2. Step 2: Convert to fraction form
    71,404.43/107,085.05 = 21,471.27/x
  3. Step 3: Cross multiply
    71,404.43x = 107,085.05 × 21,471.27
  4. Step 4: Simplify right side
    71,404.43x = 2,299,251,593.11
  5. Step 5: Solve for x
    x = 2,299,251,593.11/71,404.43
  6. Step 6: Final answer
    x = 32,200.41

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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.