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Finding the Fourth Proportional to 121.91, 181.78 and 107.52

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Solution

The fourth proportional to 121.91, 181.78 and 107.52 is: 160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.91 : 181.78 = 107.52 : x
  2. Step 2: Convert to fraction form
    121.91/181.78 = 107.52/x
  3. Step 3: Cross multiply
    121.91x = 181.78 × 107.52
  4. Step 4: Simplify right side
    121.91x = 19,544.99
  5. Step 5: Solve for x
    x = 19,544.99/121.91
  6. Step 6: Final answer
    x = 160.32

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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.