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Finding the Fourth Proportional to 71,811, 107,733.78 and 22,563

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Solution

The fourth proportional to 71,811, 107,733.78 and 22,563 is: 33,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811 : 107,733.78 = 22,563 : x
  2. Step 2: Convert to fraction form
    71,811/107,733.78 = 22,563/x
  3. Step 3: Cross multiply
    71,811x = 107,733.78 × 22,563
  4. Step 4: Simplify right side
    71,811x = 2,430,797,278.14
  5. Step 5: Solve for x
    x = 2,430,797,278.14/71,811
  6. Step 6: Final answer
    x = 33,849.93

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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.