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Finding the Fourth Proportional to 71,343.78, 107,031.87 and 38,046.30

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Solution

The fourth proportional to 71,343.78, 107,031.87 and 38,046.30 is: 57,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,343.78 : 107,031.87 = 38,046.30 : x
  2. Step 2: Convert to fraction form
    71,343.78/107,031.87 = 38,046.30/x
  3. Step 3: Cross multiply
    71,343.78x = 107,031.87 × 38,046.30
  4. Step 4: Simplify right side
    71,343.78x = 4,072,166,635.58
  5. Step 5: Solve for x
    x = 4,072,166,635.58/71,343.78
  6. Step 6: Final answer
    x = 57,078.09

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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.