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Finding the Fourth Proportional to 122, 182 and 111.64

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Solution

The fourth proportional to 122, 182 and 111.64 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122 : 182 = 111.64 : x
  2. Step 2: Convert to fraction form
    122/182 = 111.64/x
  3. Step 3: Cross multiply
    122x = 182 × 111.64
  4. Step 4: Simplify right side
    122x = 20,318.48
  5. Step 5: Solve for x
    x = 20,318.48/122
  6. Step 6: Final answer
    x = 166.54

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Double scale
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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.