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Finding the Fourth Proportional to 89.16, 122.76 and 81.84

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Solution

The fourth proportional to 89.16, 122.76 and 81.84 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.16 : 122.76 = 81.84 : x
  2. Step 2: Convert to fraction form
    89.16/122.76 = 81.84/x
  3. Step 3: Cross multiply
    89.16x = 122.76 × 81.84
  4. Step 4: Simplify right side
    89.16x = 10,046.68
  5. Step 5: Solve for x
    x = 10,046.68/89.16
  6. Step 6: Final answer
    x = 112.68

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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.