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Finding the Fourth Proportional to 187,806.30, 281,755.68 and 54,687.84

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Solution

The fourth proportional to 187,806.30, 281,755.68 and 54,687.84 is: 82,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,806.30 : 281,755.68 = 54,687.84 : x
  2. Step 2: Convert to fraction form
    187,806.30/281,755.68 = 54,687.84/x
  3. Step 3: Cross multiply
    187,806.30x = 281,755.68 × 54,687.84
  4. Step 4: Simplify right side
    187,806.30x = 15,408,609,546.93
  5. Step 5: Solve for x
    x = 15,408,609,546.93/187,806.30
  6. Step 6: Final answer
    x = 82,045.22

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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.