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Finding the Fourth Proportional to 138,274.92, 207,366.26 and 54,013.24

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Solution

The fourth proportional to 138,274.92, 207,366.26 and 54,013.24 is: 81,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,274.92 : 207,366.26 = 54,013.24 : x
  2. Step 2: Convert to fraction form
    138,274.92/207,366.26 = 54,013.24/x
  3. Step 3: Cross multiply
    138,274.92x = 207,366.26 × 54,013.24
  4. Step 4: Simplify right side
    138,274.92x = 11,200,523,569.28
  5. Step 5: Solve for x
    x = 11,200,523,569.28/138,274.92
  6. Step 6: Final answer
    x = 81,001.84

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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.