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Finding the Fourth Proportional to 87,138.60, 130,724.84 and 27,969.72

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Solution

The fourth proportional to 87,138.60, 130,724.84 and 27,969.72 is: 41,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,138.60 : 130,724.84 = 27,969.72 : x
  2. Step 2: Convert to fraction form
    87,138.60/130,724.84 = 27,969.72/x
  3. Step 3: Cross multiply
    87,138.60x = 130,724.84 × 27,969.72
  4. Step 4: Simplify right side
    87,138.60x = 3,656,337,171.84
  5. Step 5: Solve for x
    x = 3,656,337,171.84/87,138.60
  6. Step 6: Final answer
    x = 41,960.02

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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.