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Finding the Fourth Proportional to 120,687.88, 181,040.70 and 31,940.78

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Solution

The fourth proportional to 120,687.88, 181,040.70 and 31,940.78 is: 47,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,687.88 : 181,040.70 = 31,940.78 : x
  2. Step 2: Convert to fraction form
    120,687.88/181,040.70 = 31,940.78/x
  3. Step 3: Cross multiply
    120,687.88x = 181,040.70 × 31,940.78
  4. Step 4: Simplify right side
    120,687.88x = 5,782,581,010.04
  5. Step 5: Solve for x
    x = 5,782,581,010.04/120,687.88
  6. Step 6: Final answer
    x = 47,913.52

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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.