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Finding the Fourth Proportional to 87,571.75, 120,849.15 and 49,846

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Solution

The fourth proportional to 87,571.75, 120,849.15 and 49,846 is: 68,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,571.75 : 120,849.15 = 49,846 : x
  2. Step 2: Convert to fraction form
    87,571.75/120,849.15 = 49,846/x
  3. Step 3: Cross multiply
    87,571.75x = 120,849.15 × 49,846
  4. Step 4: Simplify right side
    87,571.75x = 6,023,846,730.90
  5. Step 5: Solve for x
    x = 6,023,846,730.90/87,571.75
  6. Step 6: Final answer
    x = 68,787.56

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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.