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Finding the Fourth Proportional to 122.58, 167.72 and 122.07

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Solution

The fourth proportional to 122.58, 167.72 and 122.07 is: 167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.58 : 167.72 = 122.07 : x
  2. Step 2: Convert to fraction form
    122.58/167.72 = 122.07/x
  3. Step 3: Cross multiply
    122.58x = 167.72 × 122.07
  4. Step 4: Simplify right side
    122.58x = 20,472.97
  5. Step 5: Solve for x
    x = 20,472.97/122.58
  6. Step 6: Final answer
    x = 167.02

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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.