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Finding the Fourth Proportional to 89.11, 123.49 and 87.49

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Solution

The fourth proportional to 89.11, 123.49 and 87.49 is: 121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.11 : 123.49 = 87.49 : x
  2. Step 2: Convert to fraction form
    89.11/123.49 = 87.49/x
  3. Step 3: Cross multiply
    89.11x = 123.49 × 87.49
  4. Step 4: Simplify right side
    89.11x = 10,804.14
  5. Step 5: Solve for x
    x = 10,804.14/89.11
  6. Step 6: Final answer
    x = 121.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.