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Finding the Fourth Proportional to 137.85, 205.70 and 121.46

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Solution

The fourth proportional to 137.85, 205.70 and 121.46 is: 181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.85 : 205.70 = 121.46 : x
  2. Step 2: Convert to fraction form
    137.85/205.70 = 121.46/x
  3. Step 3: Cross multiply
    137.85x = 205.70 × 121.46
  4. Step 4: Simplify right side
    137.85x = 24,982.69
  5. Step 5: Solve for x
    x = 24,982.69/137.85
  6. Step 6: Final answer
    x = 181.23

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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.