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Finding the Fourth Proportional to 57,163.32, 85,723.92 and 19,713.78

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Solution

The fourth proportional to 57,163.32, 85,723.92 and 19,713.78 is: 29,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,163.32 : 85,723.92 = 19,713.78 : x
  2. Step 2: Convert to fraction form
    57,163.32/85,723.92 = 19,713.78/x
  3. Step 3: Cross multiply
    57,163.32x = 85,723.92 × 19,713.78
  4. Step 4: Simplify right side
    57,163.32x = 1,689,942,499.62
  5. Step 5: Solve for x
    x = 1,689,942,499.62/57,163.32
  6. Step 6: Final answer
    x = 29,563.41

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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.