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Finding the Fourth Proportional to 138,801.30, 208,311.45 and 71,330.68

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Solution

The fourth proportional to 138,801.30, 208,311.45 and 71,330.68 is: 107,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,801.30 : 208,311.45 = 71,330.68 : x
  2. Step 2: Convert to fraction form
    138,801.30/208,311.45 = 71,330.68/x
  3. Step 3: Cross multiply
    138,801.30x = 208,311.45 × 71,330.68
  4. Step 4: Simplify right side
    138,801.30x = 14,858,996,201.43
  5. Step 5: Solve for x
    x = 14,858,996,201.43/138,801.30
  6. Step 6: Final answer
    x = 107,052.29

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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.