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Finding the Fourth Proportional to 71,814.94, 107,729.80 and 27,478.98

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Solution

The fourth proportional to 71,814.94, 107,729.80 and 27,478.98 is: 41,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814.94 : 107,729.80 = 27,478.98 : x
  2. Step 2: Convert to fraction form
    71,814.94/107,729.80 = 27,478.98/x
  3. Step 3: Cross multiply
    71,814.94x = 107,729.80 × 27,478.98
  4. Step 4: Simplify right side
    71,814.94x = 2,960,305,019.60
  5. Step 5: Solve for x
    x = 2,960,305,019.60/71,814.94
  6. Step 6: Final answer
    x = 41,221.30

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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.