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Finding the Fourth Proportional to 121.68, 181.56 and 109.44

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Solution

The fourth proportional to 121.68, 181.56 and 109.44 is: 163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.68 : 181.56 = 109.44 : x
  2. Step 2: Convert to fraction form
    121.68/181.56 = 109.44/x
  3. Step 3: Cross multiply
    121.68x = 181.56 × 109.44
  4. Step 4: Simplify right side
    121.68x = 19,869.93
  5. Step 5: Solve for x
    x = 19,869.93/121.68
  6. Step 6: Final answer
    x = 163.30

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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.