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Finding the Fourth Proportional to 108.59, 161.85 and 107.78

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Solution

The fourth proportional to 108.59, 161.85 and 107.78 is: 160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.59 : 161.85 = 107.78 : x
  2. Step 2: Convert to fraction form
    108.59/161.85 = 107.78/x
  3. Step 3: Cross multiply
    108.59x = 161.85 × 107.78
  4. Step 4: Simplify right side
    108.59x = 17,443.65
  5. Step 5: Solve for x
    x = 17,443.65/108.59
  6. Step 6: Final answer
    x = 160.64

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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.