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Finding the Fourth Proportional to 120,490.38, 180,737.40 and 31,752.90

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Solution

The fourth proportional to 120,490.38, 180,737.40 and 31,752.90 is: 47,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,490.38 : 180,737.40 = 31,752.90 : x
  2. Step 2: Convert to fraction form
    120,490.38/180,737.40 = 31,752.90/x
  3. Step 3: Cross multiply
    120,490.38x = 180,737.40 × 31,752.90
  4. Step 4: Simplify right side
    120,490.38x = 5,738,936,588.46
  5. Step 5: Solve for x
    x = 5,738,936,588.46/120,490.38
  6. Step 6: Final answer
    x = 47,629.83

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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.