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Finding the Fourth Proportional to 120,687.38, 181,039.95 and 31,940.28

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Solution

The fourth proportional to 120,687.38, 181,039.95 and 31,940.28 is: 47,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,687.38 : 181,039.95 = 31,940.28 : x
  2. Step 2: Convert to fraction form
    120,687.38/181,039.95 = 31,940.28/x
  3. Step 3: Cross multiply
    120,687.38x = 181,039.95 × 31,940.28
  4. Step 4: Simplify right side
    120,687.38x = 5,782,466,534.48
  5. Step 5: Solve for x
    x = 5,782,466,534.48/120,687.38
  6. Step 6: Final answer
    x = 47,912.77

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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.