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Finding the Fourth Proportional to 121.67, 183.33 and 108.57

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Solution

The fourth proportional to 121.67, 183.33 and 108.57 is: 163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.67 : 183.33 = 108.57 : x
  2. Step 2: Convert to fraction form
    121.67/183.33 = 108.57/x
  3. Step 3: Cross multiply
    121.67x = 183.33 × 108.57
  4. Step 4: Simplify right side
    121.67x = 19,903.60
  5. Step 5: Solve for x
    x = 19,903.60/121.67
  6. Step 6: Final answer
    x = 163.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.