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Finding the Fourth Proportional to 272,067.28, 408,101.86 and 82,529.28

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Solution

The fourth proportional to 272,067.28, 408,101.86 and 82,529.28 is: 123,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,067.28 : 408,101.86 = 82,529.28 : x
  2. Step 2: Convert to fraction form
    272,067.28/408,101.86 = 82,529.28/x
  3. Step 3: Cross multiply
    272,067.28x = 408,101.86 × 82,529.28
  4. Step 4: Simplify right side
    272,067.28x = 33,680,350,631.95
  5. Step 5: Solve for x
    x = 33,680,350,631.95/272,067.28
  6. Step 6: Final answer
    x = 123,794.20

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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.