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Finding the Fourth Proportional to 122.68, 182.92 and 109.84

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Solution

The fourth proportional to 122.68, 182.92 and 109.84 is: 163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.68 : 182.92 = 109.84 : x
  2. Step 2: Convert to fraction form
    122.68/182.92 = 109.84/x
  3. Step 3: Cross multiply
    122.68x = 182.92 × 109.84
  4. Step 4: Simplify right side
    122.68x = 20,091.93
  5. Step 5: Solve for x
    x = 20,091.93/122.68
  6. Step 6: Final answer
    x = 163.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.