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Finding the Fourth Proportional to 138,002.30, 207,003.45 and 95,793.20

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Solution

The fourth proportional to 138,002.30, 207,003.45 and 95,793.20 is: 143,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,002.30 : 207,003.45 = 95,793.20 : x
  2. Step 2: Convert to fraction form
    138,002.30/207,003.45 = 95,793.20/x
  3. Step 3: Cross multiply
    138,002.30x = 207,003.45 × 95,793.20
  4. Step 4: Simplify right side
    138,002.30x = 19,829,522,886.54
  5. Step 5: Solve for x
    x = 19,829,522,886.54/138,002.30
  6. Step 6: Final answer
    x = 143,689.80

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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.