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Finding the Fourth Proportional to 121.86, 181.92 and 105.66

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Solution

The fourth proportional to 121.86, 181.92 and 105.66 is: 157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.86 : 181.92 = 105.66 : x
  2. Step 2: Convert to fraction form
    121.86/181.92 = 105.66/x
  3. Step 3: Cross multiply
    121.86x = 181.92 × 105.66
  4. Step 4: Simplify right side
    121.86x = 19,221.67
  5. Step 5: Solve for x
    x = 19,221.67/121.86
  6. Step 6: Final answer
    x = 157.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.