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Finding the Fourth Proportional to 122.81, 170.33 and 112.56

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Solution

The fourth proportional to 122.81, 170.33 and 112.56 is: 156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 170.33 = 112.56 : x
  2. Step 2: Convert to fraction form
    122.81/170.33 = 112.56/x
  3. Step 3: Cross multiply
    122.81x = 170.33 × 112.56
  4. Step 4: Simplify right side
    122.81x = 19,171.78
  5. Step 5: Solve for x
    x = 19,171.78/122.81
  6. Step 6: Final answer
    x = 156.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.