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Finding the Fourth Proportional to 87,090.92, 130,694.52 and 31,686.92

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Solution

The fourth proportional to 87,090.92, 130,694.52 and 31,686.92 is: 47,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,090.92 : 130,694.52 = 31,686.92 : x
  2. Step 2: Convert to fraction form
    87,090.92/130,694.52 = 31,686.92/x
  3. Step 3: Cross multiply
    87,090.92x = 130,694.52 × 31,686.92
  4. Step 4: Simplify right side
    87,090.92x = 4,141,306,799.68
  5. Step 5: Solve for x
    x = 4,141,306,799.68/87,090.92
  6. Step 6: Final answer
    x = 47,551.53

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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.