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Finding the Fourth Proportional to 116.34, 159.96 and 103.78

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Solution

The fourth proportional to 116.34, 159.96 and 103.78 is: 142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 159.96 = 103.78 : x
  2. Step 2: Convert to fraction form
    116.34/159.96 = 103.78/x
  3. Step 3: Cross multiply
    116.34x = 159.96 × 103.78
  4. Step 4: Simplify right side
    116.34x = 16,600.95
  5. Step 5: Solve for x
    x = 16,600.95/116.34
  6. Step 6: Final answer
    x = 142.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.