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Finding the Fourth Proportional to 78.26, 116.75 and 69.54

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Solution

The fourth proportional to 78.26, 116.75 and 69.54 is: 103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.26 : 116.75 = 69.54 : x
  2. Step 2: Convert to fraction form
    78.26/116.75 = 69.54/x
  3. Step 3: Cross multiply
    78.26x = 116.75 × 69.54
  4. Step 4: Simplify right side
    78.26x = 8,118.45
  5. Step 5: Solve for x
    x = 8,118.45/78.26
  6. Step 6: Final answer
    x = 103.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.