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Finding the Fourth Proportional to 71,105.70, 106,646.87 and 23,721.15

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Solution

The fourth proportional to 71,105.70, 106,646.87 and 23,721.15 is: 35,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,105.70 : 106,646.87 = 23,721.15 : x
  2. Step 2: Convert to fraction form
    71,105.70/106,646.87 = 23,721.15/x
  3. Step 3: Cross multiply
    71,105.70x = 106,646.87 × 23,721.15
  4. Step 4: Simplify right side
    71,105.70x = 2,529,786,400.30
  5. Step 5: Solve for x
    x = 2,529,786,400.30/71,105.70
  6. Step 6: Final answer
    x = 35,577.83

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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.