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Finding the Fourth Proportional to 110.74, 166.14 and 78.26

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Solution

The fourth proportional to 110.74, 166.14 and 78.26 is: 117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 166.14 = 78.26 : x
  2. Step 2: Convert to fraction form
    110.74/166.14 = 78.26/x
  3. Step 3: Cross multiply
    110.74x = 166.14 × 78.26
  4. Step 4: Simplify right side
    110.74x = 13,002.12
  5. Step 5: Solve for x
    x = 13,002.12/110.74
  6. Step 6: Final answer
    x = 117.41

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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.