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Finding the Fourth Proportional to 187,471.86, 281,207.78 and 47,241.42

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Solution

The fourth proportional to 187,471.86, 281,207.78 and 47,241.42 is: 70,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,471.86 : 281,207.78 = 47,241.42 : x
  2. Step 2: Convert to fraction form
    187,471.86/281,207.78 = 47,241.42/x
  3. Step 3: Cross multiply
    187,471.86x = 281,207.78 × 47,241.42
  4. Step 4: Simplify right side
    187,471.86x = 13,284,654,842.25
  5. Step 5: Solve for x
    x = 13,284,654,842.25/187,471.86
  6. Step 6: Final answer
    x = 70,862.13

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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.