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Finding the Fourth Proportional to 87,015.70, 130,414.20 and 42,546.70

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Solution

The fourth proportional to 87,015.70, 130,414.20 and 42,546.70 is: 63,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,015.70 : 130,414.20 = 42,546.70 : x
  2. Step 2: Convert to fraction form
    87,015.70/130,414.20 = 42,546.70/x
  3. Step 3: Cross multiply
    87,015.70x = 130,414.20 × 42,546.70
  4. Step 4: Simplify right side
    87,015.70x = 5,548,693,843.14
  5. Step 5: Solve for x
    x = 5,548,693,843.14/87,015.70
  6. Step 6: Final answer
    x = 63,766.58

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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.