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Finding the Fourth Proportional to 187,407.88, 281,236.32 and 87,575.78

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Solution

The fourth proportional to 187,407.88, 281,236.32 and 87,575.78 is: 131,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,407.88 : 281,236.32 = 87,575.78 : x
  2. Step 2: Convert to fraction form
    187,407.88/281,236.32 = 87,575.78/x
  3. Step 3: Cross multiply
    187,407.88x = 281,236.32 × 87,575.78
  4. Step 4: Simplify right side
    187,407.88x = 24,629,490,791.42
  5. Step 5: Solve for x
    x = 24,629,490,791.42/187,407.88
  6. Step 6: Final answer
    x = 131,421.85

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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.