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Finding the Fourth Proportional to 121.67, 167.91 and 75.07

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Solution

The fourth proportional to 121.67, 167.91 and 75.07 is: 103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.67 : 167.91 = 75.07 : x
  2. Step 2: Convert to fraction form
    121.67/167.91 = 75.07/x
  3. Step 3: Cross multiply
    121.67x = 167.91 × 75.07
  4. Step 4: Simplify right side
    121.67x = 12,604.16
  5. Step 5: Solve for x
    x = 12,604.16/121.67
  6. Step 6: Final answer
    x = 103.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.