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Finding the Fourth Proportional to 122.66, 183.52 and 73.73

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Solution

The fourth proportional to 122.66, 183.52 and 73.73 is: 110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.66 : 183.52 = 73.73 : x
  2. Step 2: Convert to fraction form
    122.66/183.52 = 73.73/x
  3. Step 3: Cross multiply
    122.66x = 183.52 × 73.73
  4. Step 4: Simplify right side
    122.66x = 13,530.93
  5. Step 5: Solve for x
    x = 13,530.93/122.66
  6. Step 6: Final answer
    x = 110.31

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