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Finding the Fourth Proportional to 87,589.80, 120,874.04 and 49,864

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Solution

The fourth proportional to 87,589.80, 120,874.04 and 49,864 is: 68,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,589.80 : 120,874.04 = 49,864 : x
  2. Step 2: Convert to fraction form
    87,589.80/120,874.04 = 49,864/x
  3. Step 3: Cross multiply
    87,589.80x = 120,874.04 × 49,864
  4. Step 4: Simplify right side
    87,589.80x = 6,027,263,130.56
  5. Step 5: Solve for x
    x = 6,027,263,130.56/87,589.80
  6. Step 6: Final answer
    x = 68,812.39

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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.