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Finding the Fourth Proportional to 124.75, 186.69 and 107.41

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Solution

The fourth proportional to 124.75, 186.69 and 107.41 is: 160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.75 : 186.69 = 107.41 : x
  2. Step 2: Convert to fraction form
    124.75/186.69 = 107.41/x
  3. Step 3: Cross multiply
    124.75x = 186.69 × 107.41
  4. Step 4: Simplify right side
    124.75x = 20,052.37
  5. Step 5: Solve for x
    x = 20,052.37/124.75
  6. Step 6: Final answer
    x = 160.74

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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.