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Finding the Fourth Proportional to 53,857, 80,801.82 and 27,580.36

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Solution

The fourth proportional to 53,857, 80,801.82 and 27,580.36 is: 41,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857 : 80,801.82 = 27,580.36 : x
  2. Step 2: Convert to fraction form
    53,857/80,801.82 = 27,580.36/x
  3. Step 3: Cross multiply
    53,857x = 80,801.82 × 27,580.36
  4. Step 4: Simplify right side
    53,857x = 2,228,543,284.26
  5. Step 5: Solve for x
    x = 2,228,543,284.26/53,857
  6. Step 6: Final answer
    x = 41,378.90

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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.