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Finding the Fourth Proportional to 87.36, 119.69 and 84.12

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Solution

The fourth proportional to 87.36, 119.69 and 84.12 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.36 : 119.69 = 84.12 : x
  2. Step 2: Convert to fraction form
    87.36/119.69 = 84.12/x
  3. Step 3: Cross multiply
    87.36x = 119.69 × 84.12
  4. Step 4: Simplify right side
    87.36x = 10,067.90
  5. Step 5: Solve for x
    x = 10,067.90/87.36
  6. Step 6: Final answer
    x = 115.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.