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Finding the Fourth Proportional to 122.36, 182.48 and 111.83

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Solution

The fourth proportional to 122.36, 182.48 and 111.83 is: 166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.36 : 182.48 = 111.83 : x
  2. Step 2: Convert to fraction form
    122.36/182.48 = 111.83/x
  3. Step 3: Cross multiply
    122.36x = 182.48 × 111.83
  4. Step 4: Simplify right side
    122.36x = 20,405.27
  5. Step 5: Solve for x
    x = 20,405.27/122.36
  6. Step 6: Final answer
    x = 166.77

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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.