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Finding the Fourth Proportional to 89.13, 122.90 and 82.65

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Solution

The fourth proportional to 89.13, 122.90 and 82.65 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.13 : 122.90 = 82.65 : x
  2. Step 2: Convert to fraction form
    89.13/122.90 = 82.65/x
  3. Step 3: Cross multiply
    89.13x = 122.90 × 82.65
  4. Step 4: Simplify right side
    89.13x = 10,157.27
  5. Step 5: Solve for x
    x = 10,157.27/89.13
  6. Step 6: Final answer
    x = 113.96

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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.