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Finding the Fourth Proportional to 124.80, 186.78 and 86.22

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Solution

The fourth proportional to 124.80, 186.78 and 86.22 is: 129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.80 : 186.78 = 86.22 : x
  2. Step 2: Convert to fraction form
    124.80/186.78 = 86.22/x
  3. Step 3: Cross multiply
    124.80x = 186.78 × 86.22
  4. Step 4: Simplify right side
    124.80x = 16,104.17
  5. Step 5: Solve for x
    x = 16,104.17/124.80
  6. Step 6: Final answer
    x = 129.04

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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.