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Finding the Fourth Proportional to 124.70, 185.94 and 107.69

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Solution

The fourth proportional to 124.70, 185.94 and 107.69 is: 160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.70 : 185.94 = 107.69 : x
  2. Step 2: Convert to fraction form
    124.70/185.94 = 107.69/x
  3. Step 3: Cross multiply
    124.70x = 185.94 × 107.69
  4. Step 4: Simplify right side
    124.70x = 20,022.95
  5. Step 5: Solve for x
    x = 20,022.95/124.70
  6. Step 6: Final answer
    x = 160.58

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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.