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Finding the Fourth Proportional to 122.25, 167.67 and 107.67

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Solution

The fourth proportional to 122.25, 167.67 and 107.67 is: 147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.25 : 167.67 = 107.67 : x
  2. Step 2: Convert to fraction form
    122.25/167.67 = 107.67/x
  3. Step 3: Cross multiply
    122.25x = 167.67 × 107.67
  4. Step 4: Simplify right side
    122.25x = 18,053.03
  5. Step 5: Solve for x
    x = 18,053.03/122.25
  6. Step 6: Final answer
    x = 147.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.