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Finding the Fourth Proportional to 57,163.72, 85,758.10 and 19,211.64

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Solution

The fourth proportional to 57,163.72, 85,758.10 and 19,211.64 is: 28,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,163.72 : 85,758.10 = 19,211.64 : x
  2. Step 2: Convert to fraction form
    57,163.72/85,758.10 = 19,211.64/x
  3. Step 3: Cross multiply
    57,163.72x = 85,758.10 × 19,211.64
  4. Step 4: Simplify right side
    57,163.72x = 1,647,553,744.28
  5. Step 5: Solve for x
    x = 1,647,553,744.28/57,163.72
  6. Step 6: Final answer
    x = 28,821.67

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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.