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Finding the Fourth Proportional to 138,190.32, 207,397.16 and 71,649.48

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Solution

The fourth proportional to 138,190.32, 207,397.16 and 71,649.48 is: 107,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,190.32 : 207,397.16 = 71,649.48 : x
  2. Step 2: Convert to fraction form
    138,190.32/207,397.16 = 71,649.48/x
  3. Step 3: Cross multiply
    138,190.32x = 207,397.16 × 71,649.48
  4. Step 4: Simplify right side
    138,190.32x = 14,859,898,667.48
  5. Step 5: Solve for x
    x = 14,859,898,667.48/138,190.32
  6. Step 6: Final answer
    x = 107,532.12

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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.