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Finding the Fourth Proportional to 87.05, 130.41 and 75.50

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Solution

The fourth proportional to 87.05, 130.41 and 75.50 is: 113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.05 : 130.41 = 75.50 : x
  2. Step 2: Convert to fraction form
    87.05/130.41 = 75.50/x
  3. Step 3: Cross multiply
    87.05x = 130.41 × 75.50
  4. Step 4: Simplify right side
    87.05x = 9,845.96
  5. Step 5: Solve for x
    x = 9,845.96/87.05
  6. Step 6: Final answer
    x = 113.11

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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.