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Finding the Fourth Proportional to 122.75, 183.96 and 50.57

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Solution

The fourth proportional to 122.75, 183.96 and 50.57 is: 75.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 183.96 = 50.57 : x
  2. Step 2: Convert to fraction form
    122.75/183.96 = 50.57/x
  3. Step 3: Cross multiply
    122.75x = 183.96 × 50.57
  4. Step 4: Simplify right side
    122.75x = 9,301.94
  5. Step 5: Solve for x
    x = 9,301.94/122.75
  6. Step 6: Final answer
    x = 75.78

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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.