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Finding the Fourth Proportional to 187,446.96, 281,171.52 and 76,638.96

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Solution

The fourth proportional to 187,446.96, 281,171.52 and 76,638.96 is: 114,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,446.96 : 281,171.52 = 76,638.96 : x
  2. Step 2: Convert to fraction form
    187,446.96/281,171.52 = 76,638.96/x
  3. Step 3: Cross multiply
    187,446.96x = 281,171.52 × 76,638.96
  4. Step 4: Simplify right side
    187,446.96x = 21,548,692,874.42
  5. Step 5: Solve for x
    x = 21,548,692,874.42/187,446.96
  6. Step 6: Final answer
    x = 114,958.88

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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.