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Finding the Fourth Proportional to 113.73, 157.79 and 107.79

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Solution

The fourth proportional to 113.73, 157.79 and 107.79 is: 149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.73 : 157.79 = 107.79 : x
  2. Step 2: Convert to fraction form
    113.73/157.79 = 107.79/x
  3. Step 3: Cross multiply
    113.73x = 157.79 × 107.79
  4. Step 4: Simplify right side
    113.73x = 17,007.65
  5. Step 5: Solve for x
    x = 17,007.65/113.73
  6. Step 6: Final answer
    x = 149.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.