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Finding the Fourth Proportional to 122.44, 183.72 and 73.78

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Solution

The fourth proportional to 122.44, 183.72 and 73.78 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.44 : 183.72 = 73.78 : x
  2. Step 2: Convert to fraction form
    122.44/183.72 = 73.78/x
  3. Step 3: Cross multiply
    122.44x = 183.72 × 73.78
  4. Step 4: Simplify right side
    122.44x = 13,554.86
  5. Step 5: Solve for x
    x = 13,554.86/122.44
  6. Step 6: Final answer
    x = 110.71

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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.