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Finding the Fourth Proportional to 122.40, 182.52 and 111.60

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Solution

The fourth proportional to 122.40, 182.52 and 111.60 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.40 : 182.52 = 111.60 : x
  2. Step 2: Convert to fraction form
    122.40/182.52 = 111.60/x
  3. Step 3: Cross multiply
    122.40x = 182.52 × 111.60
  4. Step 4: Simplify right side
    122.40x = 20,369.23
  5. Step 5: Solve for x
    x = 20,369.23/122.40
  6. Step 6: Final answer
    x = 166.42

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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.