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Finding the Fourth Proportional to 87.90, 131.70 and 75.96

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Solution

The fourth proportional to 87.90, 131.70 and 75.96 is: 113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.90 : 131.70 = 75.96 : x
  2. Step 2: Convert to fraction form
    87.90/131.70 = 75.96/x
  3. Step 3: Cross multiply
    87.90x = 131.70 × 75.96
  4. Step 4: Simplify right side
    87.90x = 10,003.93
  5. Step 5: Solve for x
    x = 10,003.93/87.90
  6. Step 6: Final answer
    x = 113.81

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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.