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Finding the Fourth Proportional to 121.47, 181.13 and 118.83

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Solution

The fourth proportional to 121.47, 181.13 and 118.83 is: 177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.47 : 181.13 = 118.83 : x
  2. Step 2: Convert to fraction form
    121.47/181.13 = 118.83/x
  3. Step 3: Cross multiply
    121.47x = 181.13 × 118.83
  4. Step 4: Simplify right side
    121.47x = 21,523.08
  5. Step 5: Solve for x
    x = 21,523.08/121.47
  6. Step 6: Final answer
    x = 177.19

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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.