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Finding the Fourth Proportional to 113.99, 171.09 and 107.39

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Solution

The fourth proportional to 113.99, 171.09 and 107.39 is: 161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.99 : 171.09 = 107.39 : x
  2. Step 2: Convert to fraction form
    113.99/171.09 = 107.39/x
  3. Step 3: Cross multiply
    113.99x = 171.09 × 107.39
  4. Step 4: Simplify right side
    113.99x = 18,372.50
  5. Step 5: Solve for x
    x = 18,372.50/113.99
  6. Step 6: Final answer
    x = 161.18

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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.