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Finding the Fourth Proportional to 87,585.80, 120,868.52 and 49,860

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Solution

The fourth proportional to 87,585.80, 120,868.52 and 49,860 is: 68,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,585.80 : 120,868.52 = 49,860 : x
  2. Step 2: Convert to fraction form
    87,585.80/120,868.52 = 49,860/x
  3. Step 3: Cross multiply
    87,585.80x = 120,868.52 × 49,860
  4. Step 4: Simplify right side
    87,585.80x = 6,026,504,407.20
  5. Step 5: Solve for x
    x = 6,026,504,407.20/87,585.80
  6. Step 6: Final answer
    x = 68,806.87

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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.