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Finding the Fourth Proportional to 87,181.56, 130,791.72 and 31,777.56

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Solution

The fourth proportional to 87,181.56, 130,791.72 and 31,777.56 is: 47,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,181.56 : 130,791.72 = 31,777.56 : x
  2. Step 2: Convert to fraction form
    87,181.56/130,791.72 = 31,777.56/x
  3. Step 3: Cross multiply
    87,181.56x = 130,791.72 × 31,777.56
  4. Step 4: Simplify right side
    87,181.56x = 4,156,241,729.80
  5. Step 5: Solve for x
    x = 4,156,241,729.80/87,181.56
  6. Step 6: Final answer
    x = 47,673.40

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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.