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Finding the Fourth Proportional to 87,463.92, 120,678.78 and 49,216

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Solution

The fourth proportional to 87,463.92, 120,678.78 and 49,216 is: 67,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,463.92 : 120,678.78 = 49,216 : x
  2. Step 2: Convert to fraction form
    87,463.92/120,678.78 = 49,216/x
  3. Step 3: Cross multiply
    87,463.92x = 120,678.78 × 49,216
  4. Step 4: Simplify right side
    87,463.92x = 5,939,326,836.48
  5. Step 5: Solve for x
    x = 5,939,326,836.48/87,463.92
  6. Step 6: Final answer
    x = 67,906.02

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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.