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Finding the Fourth Proportional to 84.01, 116.51 and 78.73

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Solution

The fourth proportional to 84.01, 116.51 and 78.73 is: 109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.01 : 116.51 = 78.73 : x
  2. Step 2: Convert to fraction form
    84.01/116.51 = 78.73/x
  3. Step 3: Cross multiply
    84.01x = 116.51 × 78.73
  4. Step 4: Simplify right side
    84.01x = 9,172.64
  5. Step 5: Solve for x
    x = 9,172.64/84.01
  6. Step 6: Final answer
    x = 109.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.