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Finding the Fourth Proportional to 57,218.21, 85,851 and 30,891.99

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Solution

The fourth proportional to 57,218.21, 85,851 and 30,891.99 is: 46,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218.21 : 85,851 = 30,891.99 : x
  2. Step 2: Convert to fraction form
    57,218.21/85,851 = 30,891.99/x
  3. Step 3: Cross multiply
    57,218.21x = 85,851 × 30,891.99
  4. Step 4: Simplify right side
    57,218.21x = 2,652,108,233.49
  5. Step 5: Solve for x
    x = 2,652,108,233.49/57,218.21
  6. Step 6: Final answer
    x = 46,350.78

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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.