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Finding the Fourth Proportional to 122.85, 170.55 and 115.56

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Solution

The fourth proportional to 122.85, 170.55 and 115.56 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.85 : 170.55 = 115.56 : x
  2. Step 2: Convert to fraction form
    122.85/170.55 = 115.56/x
  3. Step 3: Cross multiply
    122.85x = 170.55 × 115.56
  4. Step 4: Simplify right side
    122.85x = 19,708.76
  5. Step 5: Solve for x
    x = 19,708.76/122.85
  6. Step 6: Final answer
    x = 160.43

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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.