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Finding the Fourth Proportional to 149.87, 225.83 and 123.41

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Solution

The fourth proportional to 149.87, 225.83 and 123.41 is: 185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.87 : 225.83 = 123.41 : x
  2. Step 2: Convert to fraction form
    149.87/225.83 = 123.41/x
  3. Step 3: Cross multiply
    149.87x = 225.83 × 123.41
  4. Step 4: Simplify right side
    149.87x = 27,867.93
  5. Step 5: Solve for x
    x = 27,867.93/149.87
  6. Step 6: Final answer
    x = 185.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.