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Finding the Fourth Proportional to 57,205.50, 85,821.22 and 20,269.50

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Solution

The fourth proportional to 57,205.50, 85,821.22 and 20,269.50 is: 30,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.50 : 85,821.22 = 20,269.50 : x
  2. Step 2: Convert to fraction form
    57,205.50/85,821.22 = 20,269.50/x
  3. Step 3: Cross multiply
    57,205.50x = 85,821.22 × 20,269.50
  4. Step 4: Simplify right side
    57,205.50x = 1,739,553,218.79
  5. Step 5: Solve for x
    x = 1,739,553,218.79/57,205.50
  6. Step 6: Final answer
    x = 30,408.85

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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.