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Finding the Fourth Proportional to 122.81, 183.92 and 113.90

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Solution

The fourth proportional to 122.81, 183.92 and 113.90 is: 170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 183.92 = 113.90 : x
  2. Step 2: Convert to fraction form
    122.81/183.92 = 113.90/x
  3. Step 3: Cross multiply
    122.81x = 183.92 × 113.90
  4. Step 4: Simplify right side
    122.81x = 20,947.00
  5. Step 5: Solve for x
    x = 20,947.00/122.81
  6. Step 6: Final answer
    x = 170.57

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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.