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Finding the Fourth Proportional to 113.82, 171 and 78.04

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Solution

The fourth proportional to 113.82, 171 and 78.04 is: 117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 171 = 78.04 : x
  2. Step 2: Convert to fraction form
    113.82/171 = 78.04/x
  3. Step 3: Cross multiply
    113.82x = 171 × 78.04
  4. Step 4: Simplify right side
    113.82x = 13,344.84
  5. Step 5: Solve for x
    x = 13,344.84/113.82
  6. Step 6: Final answer
    x = 117.25

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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.