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Finding the Fourth Proportional to 138,071.97, 206,775.78 and 78,727.73

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Solution

The fourth proportional to 138,071.97, 206,775.78 and 78,727.73 is: 117,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,071.97 : 206,775.78 = 78,727.73 : x
  2. Step 2: Convert to fraction form
    138,071.97/206,775.78 = 78,727.73/x
  3. Step 3: Cross multiply
    138,071.97x = 206,775.78 × 78,727.73
  4. Step 4: Simplify right side
    138,071.97x = 16,278,987,778.38
  5. Step 5: Solve for x
    x = 16,278,987,778.38/138,071.97
  6. Step 6: Final answer
    x = 117,902.19

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1.5x scale

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.