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Finding the Fourth Proportional to 124.85, 186.09 and 121.13

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Solution

The fourth proportional to 124.85, 186.09 and 121.13 is: 180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.85 : 186.09 = 121.13 : x
  2. Step 2: Convert to fraction form
    124.85/186.09 = 121.13/x
  3. Step 3: Cross multiply
    124.85x = 186.09 × 121.13
  4. Step 4: Simplify right side
    124.85x = 22,541.08
  5. Step 5: Solve for x
    x = 22,541.08/124.85
  6. Step 6: Final answer
    x = 180.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.