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Finding the Fourth Proportional to 107.65, 148.16 and 91.85

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Solution

The fourth proportional to 107.65, 148.16 and 91.85 is: 126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.65 : 148.16 = 91.85 : x
  2. Step 2: Convert to fraction form
    107.65/148.16 = 91.85/x
  3. Step 3: Cross multiply
    107.65x = 148.16 × 91.85
  4. Step 4: Simplify right side
    107.65x = 13,608.04
  5. Step 5: Solve for x
    x = 13,608.04/107.65
  6. Step 6: Final answer
    x = 126.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.