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Finding the Fourth Proportional to 138,266.71, 207,430.31 and 44,781.91

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Solution

The fourth proportional to 138,266.71, 207,430.31 and 44,781.91 is: 67,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,266.71 : 207,430.31 = 44,781.91 : x
  2. Step 2: Convert to fraction form
    138,266.71/207,430.31 = 44,781.91/x
  3. Step 3: Cross multiply
    138,266.71x = 207,430.31 × 44,781.91
  4. Step 4: Simplify right side
    138,266.71x = 9,289,125,473.69
  5. Step 5: Solve for x
    x = 9,289,125,473.69/138,266.71
  6. Step 6: Final answer
    x = 67,182.66

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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.