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Finding the Fourth Proportional to 71,207.72, 106,834.95 and 29,123.20

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Solution

The fourth proportional to 71,207.72, 106,834.95 and 29,123.20 is: 43,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,207.72 : 106,834.95 = 29,123.20 : x
  2. Step 2: Convert to fraction form
    71,207.72/106,834.95 = 29,123.20/x
  3. Step 3: Cross multiply
    71,207.72x = 106,834.95 × 29,123.20
  4. Step 4: Simplify right side
    71,207.72x = 3,111,375,148.44
  5. Step 5: Solve for x
    x = 3,111,375,148.44/71,207.72
  6. Step 6: Final answer
    x = 43,694.35

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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.