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Finding the Fourth Proportional to 87,618.50, 120,913.73 and 49,892.78

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Solution

The fourth proportional to 87,618.50, 120,913.73 and 49,892.78 is: 68,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,618.50 : 120,913.73 = 49,892.78 : x
  2. Step 2: Convert to fraction form
    87,618.50/120,913.73 = 49,892.78/x
  3. Step 3: Cross multiply
    87,618.50x = 120,913.73 × 49,892.78
  4. Step 4: Simplify right side
    87,618.50x = 6,032,722,129.87
  5. Step 5: Solve for x
    x = 6,032,722,129.87/87,618.50
  6. Step 6: Final answer
    x = 68,852.15

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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.