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Finding the Fourth Proportional to 138,165.80, 207,358.06 and 53,966.30

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Solution

The fourth proportional to 138,165.80, 207,358.06 and 53,966.30 is: 80,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165.80 : 207,358.06 = 53,966.30 : x
  2. Step 2: Convert to fraction form
    138,165.80/207,358.06 = 53,966.30/x
  3. Step 3: Cross multiply
    138,165.80x = 207,358.06 × 53,966.30
  4. Step 4: Simplify right side
    138,165.80x = 11,190,347,273.38
  5. Step 5: Solve for x
    x = 11,190,347,273.38/138,165.80
  6. Step 6: Final answer
    x = 80,992.17

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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.