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Finding the Fourth Proportional to 187,912.88, 281,839.31 and 54,761.99

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Solution

The fourth proportional to 187,912.88, 281,839.31 and 54,761.99 is: 82,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,912.88 : 281,839.31 = 54,761.99 : x
  2. Step 2: Convert to fraction form
    187,912.88/281,839.31 = 54,761.99/x
  3. Step 3: Cross multiply
    187,912.88x = 281,839.31 × 54,761.99
  4. Step 4: Simplify right side
    187,912.88x = 15,434,081,475.83
  5. Step 5: Solve for x
    x = 15,434,081,475.83/187,912.88
  6. Step 6: Final answer
    x = 82,134.24

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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.