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Finding the Fourth Proportional to 146.92, 219.82 and 125.20

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Solution

The fourth proportional to 146.92, 219.82 and 125.20 is: 187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.92 : 219.82 = 125.20 : x
  2. Step 2: Convert to fraction form
    146.92/219.82 = 125.20/x
  3. Step 3: Cross multiply
    146.92x = 219.82 × 125.20
  4. Step 4: Simplify right side
    146.92x = 27,521.46
  5. Step 5: Solve for x
    x = 27,521.46/146.92
  6. Step 6: Final answer
    x = 187.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.