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Finding the Fourth Proportional to 138,520.91, 207,781.42 and 33,339.88

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Solution

The fourth proportional to 138,520.91, 207,781.42 and 33,339.88 is: 50,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,520.91 : 207,781.42 = 33,339.88 : x
  2. Step 2: Convert to fraction form
    138,520.91/207,781.42 = 33,339.88/x
  3. Step 3: Cross multiply
    138,520.91x = 207,781.42 × 33,339.88
  4. Step 4: Simplify right side
    138,520.91x = 6,927,407,575.54
  5. Step 5: Solve for x
    x = 6,927,407,575.54/138,520.91
  6. Step 6: Final answer
    x = 50,009.83

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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.