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Finding the Fourth Proportional to 87,475.68, 120,714.30 and 49,747.50

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Solution

The fourth proportional to 87,475.68, 120,714.30 and 49,747.50 is: 68,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,475.68 : 120,714.30 = 49,747.50 : x
  2. Step 2: Convert to fraction form
    87,475.68/120,714.30 = 49,747.50/x
  3. Step 3: Cross multiply
    87,475.68x = 120,714.30 × 49,747.50
  4. Step 4: Simplify right side
    87,475.68x = 6,005,234,639.25
  5. Step 5: Solve for x
    x = 6,005,234,639.25/87,475.68
  6. Step 6: Final answer
    x = 68,650.33

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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.