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Finding the Fourth Proportional to 84.12, 116.07 and 49.14

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Solution

The fourth proportional to 84.12, 116.07 and 49.14 is: 67.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 116.07 = 49.14 : x
  2. Step 2: Convert to fraction form
    84.12/116.07 = 49.14/x
  3. Step 3: Cross multiply
    84.12x = 116.07 × 49.14
  4. Step 4: Simplify right side
    84.12x = 5,703.68
  5. Step 5: Solve for x
    x = 5,703.68/84.12
  6. Step 6: Final answer
    x = 67.80

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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.