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Finding the Fourth Proportional to 78.97, 117.76 and 67.63

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Solution

The fourth proportional to 78.97, 117.76 and 67.63 is: 100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.97 : 117.76 = 67.63 : x
  2. Step 2: Convert to fraction form
    78.97/117.76 = 67.63/x
  3. Step 3: Cross multiply
    78.97x = 117.76 × 67.63
  4. Step 4: Simplify right side
    78.97x = 7,964.11
  5. Step 5: Solve for x
    x = 7,964.11/78.97
  6. Step 6: Final answer
    x = 100.85

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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.