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Finding the Fourth Proportional to 122.83, 170.68 and 121.58

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Solution

The fourth proportional to 122.83, 170.68 and 121.58 is: 168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.83 : 170.68 = 121.58 : x
  2. Step 2: Convert to fraction form
    122.83/170.68 = 121.58/x
  3. Step 3: Cross multiply
    122.83x = 170.68 × 121.58
  4. Step 4: Simplify right side
    122.83x = 20,751.27
  5. Step 5: Solve for x
    x = 20,751.27/122.83
  6. Step 6: Final answer
    x = 168.94

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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.