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Finding the Fourth Proportional to 84.19, 116.08 and 78.12

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Solution

The fourth proportional to 84.19, 116.08 and 78.12 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.19 : 116.08 = 78.12 : x
  2. Step 2: Convert to fraction form
    84.19/116.08 = 78.12/x
  3. Step 3: Cross multiply
    84.19x = 116.08 × 78.12
  4. Step 4: Simplify right side
    84.19x = 9,068.17
  5. Step 5: Solve for x
    x = 9,068.17/84.19
  6. Step 6: Final answer
    x = 107.71

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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.