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Finding the Fourth Proportional to 108.65, 162.65 and 77.96

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Solution

The fourth proportional to 108.65, 162.65 and 77.96 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.65 : 162.65 = 77.96 : x
  2. Step 2: Convert to fraction form
    108.65/162.65 = 77.96/x
  3. Step 3: Cross multiply
    108.65x = 162.65 × 77.96
  4. Step 4: Simplify right side
    108.65x = 12,678.99
  5. Step 5: Solve for x
    x = 12,678.99/108.65
  6. Step 6: Final answer
    x = 116.70

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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.