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Finding the Fourth Proportional to 107.56, 161.34 and 76.78

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Solution

The fourth proportional to 107.56, 161.34 and 76.78 is: 115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.56 : 161.34 = 76.78 : x
  2. Step 2: Convert to fraction form
    107.56/161.34 = 76.78/x
  3. Step 3: Cross multiply
    107.56x = 161.34 × 76.78
  4. Step 4: Simplify right side
    107.56x = 12,387.69
  5. Step 5: Solve for x
    x = 12,387.69/107.56
  6. Step 6: Final answer
    x = 115.17

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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.