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Finding the Fourth Proportional to 57,269.70, 85,883.97 and 19,819.61

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Solution

The fourth proportional to 57,269.70, 85,883.97 and 19,819.61 is: 29,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,269.70 : 85,883.97 = 19,819.61 : x
  2. Step 2: Convert to fraction form
    57,269.70/85,883.97 = 19,819.61/x
  3. Step 3: Cross multiply
    57,269.70x = 85,883.97 × 19,819.61
  4. Step 4: Simplify right side
    57,269.70x = 1,702,186,790.65
  5. Step 5: Solve for x
    x = 1,702,186,790.65/57,269.70
  6. Step 6: Final answer
    x = 29,722.29

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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.