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Finding the Fourth Proportional to 121.84, 181.81 and 109.69

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Solution

The fourth proportional to 121.84, 181.81 and 109.69 is: 163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.84 : 181.81 = 109.69 : x
  2. Step 2: Convert to fraction form
    121.84/181.81 = 109.69/x
  3. Step 3: Cross multiply
    121.84x = 181.81 × 109.69
  4. Step 4: Simplify right side
    121.84x = 19,942.42
  5. Step 5: Solve for x
    x = 19,942.42/121.84
  6. Step 6: Final answer
    x = 163.68

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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.