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Finding the Fourth Proportional to 71,331, 106,996.14 and 29,230.62

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Solution

The fourth proportional to 71,331, 106,996.14 and 29,230.62 is: 43,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,331 : 106,996.14 = 29,230.62 : x
  2. Step 2: Convert to fraction form
    71,331/106,996.14 = 29,230.62/x
  3. Step 3: Cross multiply
    71,331x = 106,996.14 × 29,230.62
  4. Step 4: Simplify right side
    71,331x = 3,127,563,509.81
  5. Step 5: Solve for x
    x = 3,127,563,509.81/71,331
  6. Step 6: Final answer
    x = 43,845.78

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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.