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Finding the Fourth Proportional to 121.86, 168.42 and 105.66

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Solution

The fourth proportional to 121.86, 168.42 and 105.66 is: 146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.86 : 168.42 = 105.66 : x
  2. Step 2: Convert to fraction form
    121.86/168.42 = 105.66/x
  3. Step 3: Cross multiply
    121.86x = 168.42 × 105.66
  4. Step 4: Simplify right side
    121.86x = 17,795.26
  5. Step 5: Solve for x
    x = 17,795.26/121.86
  6. Step 6: Final answer
    x = 146.03

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