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Finding the Fourth Proportional to 89.84, 123.44 and 81.68

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Solution

The fourth proportional to 89.84, 123.44 and 81.68 is: 112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.84 : 123.44 = 81.68 : x
  2. Step 2: Convert to fraction form
    89.84/123.44 = 81.68/x
  3. Step 3: Cross multiply
    89.84x = 123.44 × 81.68
  4. Step 4: Simplify right side
    89.84x = 10,082.58
  5. Step 5: Solve for x
    x = 10,082.58/89.84
  6. Step 6: Final answer
    x = 112.23

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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.