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Finding the Fourth Proportional to 122.62, 183.92 and 50.42

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Solution

The fourth proportional to 122.62, 183.92 and 50.42 is: 75.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.62 : 183.92 = 50.42 : x
  2. Step 2: Convert to fraction form
    122.62/183.92 = 50.42/x
  3. Step 3: Cross multiply
    122.62x = 183.92 × 50.42
  4. Step 4: Simplify right side
    122.62x = 9,273.83
  5. Step 5: Solve for x
    x = 9,273.83/122.62
  6. Step 6: Final answer
    x = 75.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.