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Finding the Fourth Proportional to 123.87, 186 and 113.73

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Solution

The fourth proportional to 123.87, 186 and 113.73 is: 170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.87 : 186 = 113.73 : x
  2. Step 2: Convert to fraction form
    123.87/186 = 113.73/x
  3. Step 3: Cross multiply
    123.87x = 186 × 113.73
  4. Step 4: Simplify right side
    123.87x = 21,153.78
  5. Step 5: Solve for x
    x = 21,153.78/123.87
  6. Step 6: Final answer
    x = 170.77

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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.