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Finding the Fourth Proportional to 89.75, 134.75 and 84.11

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Solution

The fourth proportional to 89.75, 134.75 and 84.11 is: 126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.75 : 134.75 = 84.11 : x
  2. Step 2: Convert to fraction form
    89.75/134.75 = 84.11/x
  3. Step 3: Cross multiply
    89.75x = 134.75 × 84.11
  4. Step 4: Simplify right side
    89.75x = 11,332.73
  5. Step 5: Solve for x
    x = 11,332.73/89.75
  6. Step 6: Final answer
    x = 126.28

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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.