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Finding the Fourth Proportional to 87,534, 120,796.92 and 47,790

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Solution

The fourth proportional to 87,534, 120,796.92 and 47,790 is: 65,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,534 : 120,796.92 = 47,790 : x
  2. Step 2: Convert to fraction form
    87,534/120,796.92 = 47,790/x
  3. Step 3: Cross multiply
    87,534x = 120,796.92 × 47,790
  4. Step 4: Simplify right side
    87,534x = 5,772,884,806.80
  5. Step 5: Solve for x
    x = 5,772,884,806.80/87,534
  6. Step 6: Final answer
    x = 65,950.20

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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.