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Finding the Fourth Proportional to 122.96, 183.06 and 116.76

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Solution

The fourth proportional to 122.96, 183.06 and 116.76 is: 173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.96 : 183.06 = 116.76 : x
  2. Step 2: Convert to fraction form
    122.96/183.06 = 116.76/x
  3. Step 3: Cross multiply
    122.96x = 183.06 × 116.76
  4. Step 4: Simplify right side
    122.96x = 21,374.09
  5. Step 5: Solve for x
    x = 21,374.09/122.96
  6. Step 6: Final answer
    x = 173.83

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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.