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Finding the Fourth Proportional to 84,015.96, 126,033.66 and 27,861

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Solution

The fourth proportional to 84,015.96, 126,033.66 and 27,861 is: 41,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,015.96 : 126,033.66 = 27,861 : x
  2. Step 2: Convert to fraction form
    84,015.96/126,033.66 = 27,861/x
  3. Step 3: Cross multiply
    84,015.96x = 126,033.66 × 27,861
  4. Step 4: Simplify right side
    84,015.96x = 3,511,423,801.26
  5. Step 5: Solve for x
    x = 3,511,423,801.26/84,015.96
  6. Step 6: Final answer
    x = 41,794.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.