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Finding the Fourth Proportional to 138,487.96, 207,648.84 and 63,514.16

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Solution

The fourth proportional to 138,487.96, 207,648.84 and 63,514.16 is: 95,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,487.96 : 207,648.84 = 63,514.16 : x
  2. Step 2: Convert to fraction form
    138,487.96/207,648.84 = 63,514.16/x
  3. Step 3: Cross multiply
    138,487.96x = 207,648.84 × 63,514.16
  4. Step 4: Simplify right side
    138,487.96x = 13,188,641,647.57
  5. Step 5: Solve for x
    x = 13,188,641,647.57/138,487.96
  6. Step 6: Final answer
    x = 95,233.13

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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.