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Finding the Fourth Proportional to 138,178.55, 207,379.54 and 71,637.72

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Solution

The fourth proportional to 138,178.55, 207,379.54 and 71,637.72 is: 107,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,178.55 : 207,379.54 = 71,637.72 : x
  2. Step 2: Convert to fraction form
    138,178.55/207,379.54 = 71,637.72/x
  3. Step 3: Cross multiply
    138,178.55x = 207,379.54 × 71,637.72
  4. Step 4: Simplify right side
    138,178.55x = 14,856,196,732.12
  5. Step 5: Solve for x
    x = 14,856,196,732.12/138,178.55
  6. Step 6: Final answer
    x = 107,514.49

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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.