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Finding the Fourth Proportional to 120,686.87, 181,039.20 and 31,939.78

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Solution

The fourth proportional to 120,686.87, 181,039.20 and 31,939.78 is: 47,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,686.87 : 181,039.20 = 31,939.78 : x
  2. Step 2: Convert to fraction form
    120,686.87/181,039.20 = 31,939.78/x
  3. Step 3: Cross multiply
    120,686.87x = 181,039.20 × 31,939.78
  4. Step 4: Simplify right side
    120,686.87x = 5,782,352,325.90
  5. Step 5: Solve for x
    x = 5,782,352,325.90/120,686.87
  6. Step 6: Final answer
    x = 47,912.02

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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.