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Finding the Fourth Proportional to 71,857.42, 107,786.95 and 27,486.43

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Solution

The fourth proportional to 71,857.42, 107,786.95 and 27,486.43 is: 41,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,857.42 : 107,786.95 = 27,486.43 : x
  2. Step 2: Convert to fraction form
    71,857.42/107,786.95 = 27,486.43/x
  3. Step 3: Cross multiply
    71,857.42x = 107,786.95 × 27,486.43
  4. Step 4: Simplify right side
    71,857.42x = 2,962,678,117.91
  5. Step 5: Solve for x
    x = 2,962,678,117.91/71,857.42
  6. Step 6: Final answer
    x = 41,229.96

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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.