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Finding the Fourth Proportional to 124.91, 186.81 and 113.41

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Solution

The fourth proportional to 124.91, 186.81 and 113.41 is: 169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.91 : 186.81 = 113.41 : x
  2. Step 2: Convert to fraction form
    124.91/186.81 = 113.41/x
  3. Step 3: Cross multiply
    124.91x = 186.81 × 113.41
  4. Step 4: Simplify right side
    124.91x = 21,185.19
  5. Step 5: Solve for x
    x = 21,185.19/124.91
  6. Step 6: Final answer
    x = 169.61

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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.