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Finding the Fourth Proportional to 124.59, 186.66 and 83.97

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Solution

The fourth proportional to 124.59, 186.66 and 83.97 is: 125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.59 : 186.66 = 83.97 : x
  2. Step 2: Convert to fraction form
    124.59/186.66 = 83.97/x
  3. Step 3: Cross multiply
    124.59x = 186.66 × 83.97
  4. Step 4: Simplify right side
    124.59x = 15,673.84
  5. Step 5: Solve for x
    x = 15,673.84/124.59
  6. Step 6: Final answer
    x = 125.80

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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.