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Finding the Fourth Proportional to 121.86, 168.34 and 105.46

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Solution

The fourth proportional to 121.86, 168.34 and 105.46 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.86 : 168.34 = 105.46 : x
  2. Step 2: Convert to fraction form
    121.86/168.34 = 105.46/x
  3. Step 3: Cross multiply
    121.86x = 168.34 × 105.46
  4. Step 4: Simplify right side
    121.86x = 17,753.14
  5. Step 5: Solve for x
    x = 17,753.14/121.86
  6. Step 6: Final answer
    x = 145.68

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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.