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Finding the Fourth Proportional to 87,129.92, 130,706.98 and 27,983.72

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Solution

The fourth proportional to 87,129.92, 130,706.98 and 27,983.72 is: 41,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,129.92 : 130,706.98 = 27,983.72 : x
  2. Step 2: Convert to fraction form
    87,129.92/130,706.98 = 27,983.72/x
  3. Step 3: Cross multiply
    87,129.92x = 130,706.98 × 27,983.72
  4. Step 4: Simplify right side
    87,129.92x = 3,657,667,530.37
  5. Step 5: Solve for x
    x = 3,657,667,530.37/87,129.92
  6. Step 6: Final answer
    x = 41,979.47

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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.