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Finding the Fourth Proportional to 113.90, 170.72 and 68.27

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Solution

The fourth proportional to 113.90, 170.72 and 68.27 is: 102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.90 : 170.72 = 68.27 : x
  2. Step 2: Convert to fraction form
    113.90/170.72 = 68.27/x
  3. Step 3: Cross multiply
    113.90x = 170.72 × 68.27
  4. Step 4: Simplify right side
    113.90x = 11,654.71
  5. Step 5: Solve for x
    x = 11,654.71/113.90
  6. Step 6: Final answer
    x = 102.32

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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.