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Finding the Fourth Proportional to 124.26, 186.47 and 83.71

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Solution

The fourth proportional to 124.26, 186.47 and 83.71 is: 125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.26 : 186.47 = 83.71 : x
  2. Step 2: Convert to fraction form
    124.26/186.47 = 83.71/x
  3. Step 3: Cross multiply
    124.26x = 186.47 × 83.71
  4. Step 4: Simplify right side
    124.26x = 15,609.40
  5. Step 5: Solve for x
    x = 15,609.40/124.26
  6. Step 6: Final answer
    x = 125.62

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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.