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Finding the Fourth Proportional to 87,092, 120,187.92 and 47,348

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Solution

The fourth proportional to 87,092, 120,187.92 and 47,348 is: 65,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,092 : 120,187.92 = 47,348 : x
  2. Step 2: Convert to fraction form
    87,092/120,187.92 = 47,348/x
  3. Step 3: Cross multiply
    87,092x = 120,187.92 × 47,348
  4. Step 4: Simplify right side
    87,092x = 5,690,657,636.16
  5. Step 5: Solve for x
    x = 5,690,657,636.16/87,092
  6. Step 6: Final answer
    x = 65,340.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.