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Finding the Fourth Proportional to 122.73, 182.78 and 114.94

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Solution

The fourth proportional to 122.73, 182.78 and 114.94 is: 171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.73 : 182.78 = 114.94 : x
  2. Step 2: Convert to fraction form
    122.73/182.78 = 114.94/x
  3. Step 3: Cross multiply
    122.73x = 182.78 × 114.94
  4. Step 4: Simplify right side
    122.73x = 21,008.73
  5. Step 5: Solve for x
    x = 21,008.73/122.73
  6. Step 6: Final answer
    x = 171.18

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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.