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Finding the Fourth Proportional to 57,249.99, 85,847.72 and 21,214.71

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Solution

The fourth proportional to 57,249.99, 85,847.72 and 21,214.71 is: 31,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,249.99 : 85,847.72 = 21,214.71 : x
  2. Step 2: Convert to fraction form
    57,249.99/85,847.72 = 21,214.71/x
  3. Step 3: Cross multiply
    57,249.99x = 85,847.72 × 21,214.71
  4. Step 4: Simplify right side
    57,249.99x = 1,821,234,377.89
  5. Step 5: Solve for x
    x = 1,821,234,377.89/57,249.99
  6. Step 6: Final answer
    x = 31,811.96

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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.