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Finding the Fourth Proportional to 138,472.84, 207,744.28 and 38,632.96

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Solution

The fourth proportional to 138,472.84, 207,744.28 and 38,632.96 is: 57,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,472.84 : 207,744.28 = 38,632.96 : x
  2. Step 2: Convert to fraction form
    138,472.84/207,744.28 = 38,632.96/x
  3. Step 3: Cross multiply
    138,472.84x = 207,744.28 × 38,632.96
  4. Step 4: Simplify right side
    138,472.84x = 8,025,775,420.75
  5. Step 5: Solve for x
    x = 8,025,775,420.75/138,472.84
  6. Step 6: Final answer
    x = 57,959.20

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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.