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Finding the Fourth Proportional to 113.14, 169.32 and 78.70

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Solution

The fourth proportional to 113.14, 169.32 and 78.70 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.14 : 169.32 = 78.70 : x
  2. Step 2: Convert to fraction form
    113.14/169.32 = 78.70/x
  3. Step 3: Cross multiply
    113.14x = 169.32 × 78.70
  4. Step 4: Simplify right side
    113.14x = 13,325.48
  5. Step 5: Solve for x
    x = 13,325.48/113.14
  6. Step 6: Final answer
    x = 117.78

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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.