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Finding the Fourth Proportional to 71,780.85, 107,628.21 and 27,410.94

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Solution

The fourth proportional to 71,780.85, 107,628.21 and 27,410.94 is: 41,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780.85 : 107,628.21 = 27,410.94 : x
  2. Step 2: Convert to fraction form
    71,780.85/107,628.21 = 27,410.94/x
  3. Step 3: Cross multiply
    71,780.85x = 107,628.21 × 27,410.94
  4. Step 4: Simplify right side
    71,780.85x = 2,950,190,406.62
  5. Step 5: Solve for x
    x = 2,950,190,406.62/71,780.85
  6. Step 6: Final answer
    x = 41,099.96

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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.