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Finding the Fourth Proportional to 87,084, 120,201.57 and 56,873.97

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Solution

The fourth proportional to 87,084, 120,201.57 and 56,873.97 is: 78,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,084 : 120,201.57 = 56,873.97 : x
  2. Step 2: Convert to fraction form
    87,084/120,201.57 = 56,873.97/x
  3. Step 3: Cross multiply
    87,084x = 120,201.57 × 56,873.97
  4. Step 4: Simplify right side
    87,084x = 6,836,340,486.13
  5. Step 5: Solve for x
    x = 6,836,340,486.13/87,084
  6. Step 6: Final answer
    x = 78,502.83

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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.