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Finding the Fourth Proportional to 121.47, 181.89 and 80.76

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Solution

The fourth proportional to 121.47, 181.89 and 80.76 is: 120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.47 : 181.89 = 80.76 : x
  2. Step 2: Convert to fraction form
    121.47/181.89 = 80.76/x
  3. Step 3: Cross multiply
    121.47x = 181.89 × 80.76
  4. Step 4: Simplify right side
    121.47x = 14,689.44
  5. Step 5: Solve for x
    x = 14,689.44/121.47
  6. Step 6: Final answer
    x = 120.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.