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Finding the Fourth Proportional to 122.96, 183.07 and 116.75

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Solution

The fourth proportional to 122.96, 183.07 and 116.75 is: 173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.96 : 183.07 = 116.75 : x
  2. Step 2: Convert to fraction form
    122.96/183.07 = 116.75/x
  3. Step 3: Cross multiply
    122.96x = 183.07 × 116.75
  4. Step 4: Simplify right side
    122.96x = 21,373.42
  5. Step 5: Solve for x
    x = 21,373.42/122.96
  6. Step 6: Final answer
    x = 173.82

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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.