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Finding the Fourth Proportional to 140.09, 209.13 and 121.87

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Solution

The fourth proportional to 140.09, 209.13 and 121.87 is: 181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.09 : 209.13 = 121.87 : x
  2. Step 2: Convert to fraction form
    140.09/209.13 = 121.87/x
  3. Step 3: Cross multiply
    140.09x = 209.13 × 121.87
  4. Step 4: Simplify right side
    140.09x = 25,486.67
  5. Step 5: Solve for x
    x = 25,486.67/140.09
  6. Step 6: Final answer
    x = 181.93

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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.