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Finding the Fourth Proportional to 137.92, 205.81 and 121.92

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Solution

The fourth proportional to 137.92, 205.81 and 121.92 is: 181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 205.81 = 121.92 : x
  2. Step 2: Convert to fraction form
    137.92/205.81 = 121.92/x
  3. Step 3: Cross multiply
    137.92x = 205.81 × 121.92
  4. Step 4: Simplify right side
    137.92x = 25,092.36
  5. Step 5: Solve for x
    x = 25,092.36/137.92
  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.