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Finding the Fourth Proportional to 120,469.49, 180,713.11 and 31,722.38

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Solution

The fourth proportional to 120,469.49, 180,713.11 and 31,722.38 is: 47,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,469.49 : 180,713.11 = 31,722.38 : x
  2. Step 2: Convert to fraction form
    120,469.49/180,713.11 = 31,722.38/x
  3. Step 3: Cross multiply
    120,469.49x = 180,713.11 × 31,722.38
  4. Step 4: Simplify right side
    120,469.49x = 5,732,648,963.53
  5. Step 5: Solve for x
    x = 5,732,648,963.53/120,469.49
  6. Step 6: Final answer
    x = 47,585.90

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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.