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Finding the Fourth Proportional to 138,155.80, 207,233.70 and 127,658.20

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Solution

The fourth proportional to 138,155.80, 207,233.70 and 127,658.20 is: 191,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,155.80 : 207,233.70 = 127,658.20 : x
  2. Step 2: Convert to fraction form
    138,155.80/207,233.70 = 127,658.20/x
  3. Step 3: Cross multiply
    138,155.80x = 207,233.70 × 127,658.20
  4. Step 4: Simplify right side
    138,155.80x = 26,455,081,121.34
  5. Step 5: Solve for x
    x = 26,455,081,121.34/138,155.80
  6. Step 6: Final answer
    x = 191,487.30

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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.