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Finding the Fourth Proportional to 113.82, 170.87 and 78.05

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Solution

The fourth proportional to 113.82, 170.87 and 78.05 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 170.87 = 78.05 : x
  2. Step 2: Convert to fraction form
    113.82/170.87 = 78.05/x
  3. Step 3: Cross multiply
    113.82x = 170.87 × 78.05
  4. Step 4: Simplify right side
    113.82x = 13,335.16
  5. Step 5: Solve for x
    x = 13,335.16/113.82
  6. Step 6: Final answer
    x = 117.16

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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.