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Finding the Fourth Proportional to 87,687.26, 120,978.81 and 49,934.78

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Solution

The fourth proportional to 87,687.26, 120,978.81 and 49,934.78 is: 68,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,687.26 : 120,978.81 = 49,934.78 : x
  2. Step 2: Convert to fraction form
    87,687.26/120,978.81 = 49,934.78/x
  3. Step 3: Cross multiply
    87,687.26x = 120,978.81 × 49,934.78
  4. Step 4: Simplify right side
    87,687.26x = 6,041,050,262.01
  5. Step 5: Solve for x
    x = 6,041,050,262.01/87,687.26
  6. Step 6: Final answer
    x = 68,893.14

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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.