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Finding the Fourth Proportional to 138,456.90, 207,674.55 and 54,200.70

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Solution

The fourth proportional to 138,456.90, 207,674.55 and 54,200.70 is: 81,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,456.90 : 207,674.55 = 54,200.70 : x
  2. Step 2: Convert to fraction form
    138,456.90/207,674.55 = 54,200.70/x
  3. Step 3: Cross multiply
    138,456.90x = 207,674.55 × 54,200.70
  4. Step 4: Simplify right side
    138,456.90x = 11,256,105,982.19
  5. Step 5: Solve for x
    x = 11,256,105,982.19/138,456.90
  6. Step 6: Final answer
    x = 81,296.82

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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.