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Finding the Fourth Proportional to 138,890.26, 208,340.52 and 71,404.22

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Solution

The fourth proportional to 138,890.26, 208,340.52 and 71,404.22 is: 107,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,890.26 : 208,340.52 = 71,404.22 : x
  2. Step 2: Convert to fraction form
    138,890.26/208,340.52 = 71,404.22/x
  3. Step 3: Cross multiply
    138,890.26x = 208,340.52 × 71,404.22
  4. Step 4: Simplify right side
    138,890.26x = 14,876,392,324.99
  5. Step 5: Solve for x
    x = 14,876,392,324.99/138,890.26
  6. Step 6: Final answer
    x = 107,108.97

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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.