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Finding the Fourth Proportional to 87,092.51, 130,697.01 and 31,688.51

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Solution

The fourth proportional to 87,092.51, 130,697.01 and 31,688.51 is: 47,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,092.51 : 130,697.01 = 31,688.51 : x
  2. Step 2: Convert to fraction form
    87,092.51/130,697.01 = 31,688.51/x
  3. Step 3: Cross multiply
    87,092.51x = 130,697.01 × 31,688.51
  4. Step 4: Simplify right side
    87,092.51x = 4,141,592,854.87
  5. Step 5: Solve for x
    x = 4,141,592,854.87/87,092.51
  6. Step 6: Final answer
    x = 47,553.95

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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.