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Finding the Fourth Proportional to 78.50, 117.44 and 67.12

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Solution

The fourth proportional to 78.50, 117.44 and 67.12 is: 100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.50 : 117.44 = 67.12 : x
  2. Step 2: Convert to fraction form
    78.50/117.44 = 67.12/x
  3. Step 3: Cross multiply
    78.50x = 117.44 × 67.12
  4. Step 4: Simplify right side
    78.50x = 7,882.57
  5. Step 5: Solve for x
    x = 7,882.57/78.50
  6. Step 6: Final answer
    x = 100.41

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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.