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Finding the Fourth Proportional to 78.06, 116.49 and 71.97

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Solution

The fourth proportional to 78.06, 116.49 and 71.97 is: 107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 116.49 = 71.97 : x
  2. Step 2: Convert to fraction form
    78.06/116.49 = 71.97/x
  3. Step 3: Cross multiply
    78.06x = 116.49 × 71.97
  4. Step 4: Simplify right side
    78.06x = 8,383.79
  5. Step 5: Solve for x
    x = 8,383.79/78.06
  6. Step 6: Final answer
    x = 107.40

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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.