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Finding the Fourth Proportional to 124.29, 186.48 and 83.18

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Solution

The fourth proportional to 124.29, 186.48 and 83.18 is: 124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.29 : 186.48 = 83.18 : x
  2. Step 2: Convert to fraction form
    124.29/186.48 = 83.18/x
  3. Step 3: Cross multiply
    124.29x = 186.48 × 83.18
  4. Step 4: Simplify right side
    124.29x = 15,511.87
  5. Step 5: Solve for x
    x = 15,511.87/124.29
  6. Step 6: Final answer
    x = 124.80

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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.