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Finding the Fourth Proportional to 87.62, 121.16 and 87.08

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Solution

The fourth proportional to 87.62, 121.16 and 87.08 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.62 : 121.16 = 87.08 : x
  2. Step 2: Convert to fraction form
    87.62/121.16 = 87.08/x
  3. Step 3: Cross multiply
    87.62x = 121.16 × 87.08
  4. Step 4: Simplify right side
    87.62x = 10,550.22
  5. Step 5: Solve for x
    x = 10,550.22/87.62
  6. Step 6: Final answer
    x = 120.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.