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Finding the Fourth Proportional to 138,487.32, 207,708.30 and 49,724.28

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Solution

The fourth proportional to 138,487.32, 207,708.30 and 49,724.28 is: 74,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,487.32 : 207,708.30 = 49,724.28 : x
  2. Step 2: Convert to fraction form
    138,487.32/207,708.30 = 49,724.28/x
  3. Step 3: Cross multiply
    138,487.32x = 207,708.30 × 49,724.28
  4. Step 4: Simplify right side
    138,487.32x = 10,328,145,667.52
  5. Step 5: Solve for x
    x = 10,328,145,667.52/138,487.32
  6. Step 6: Final answer
    x = 74,578.28

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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.