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Finding the Fourth Proportional to 80,363.78, 120,537.21 and 32,983.88

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Solution

The fourth proportional to 80,363.78, 120,537.21 and 32,983.88 is: 49,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,363.78 : 120,537.21 = 32,983.88 : x
  2. Step 2: Convert to fraction form
    80,363.78/120,537.21 = 32,983.88/x
  3. Step 3: Cross multiply
    80,363.78x = 120,537.21 × 32,983.88
  4. Step 4: Simplify right side
    80,363.78x = 3,975,784,102.57
  5. Step 5: Solve for x
    x = 3,975,784,102.57/80,363.78
  6. Step 6: Final answer
    x = 49,472.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.