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Finding the Fourth Proportional to 84.09, 116.01 and 78.29

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Solution

The fourth proportional to 84.09, 116.01 and 78.29 is: 108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 116.01 = 78.29 : x
  2. Step 2: Convert to fraction form
    84.09/116.01 = 78.29/x
  3. Step 3: Cross multiply
    84.09x = 116.01 × 78.29
  4. Step 4: Simplify right side
    84.09x = 9,082.42
  5. Step 5: Solve for x
    x = 9,082.42/84.09
  6. Step 6: Final answer
    x = 108.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.