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Finding the Fourth Proportional to 57,812.67, 86,731.43 and 20,371.23

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Solution

The fourth proportional to 57,812.67, 86,731.43 and 20,371.23 is: 30,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,812.67 : 86,731.43 = 20,371.23 : x
  2. Step 2: Convert to fraction form
    57,812.67/86,731.43 = 20,371.23/x
  3. Step 3: Cross multiply
    57,812.67x = 86,731.43 × 20,371.23
  4. Step 4: Simplify right side
    57,812.67x = 1,766,825,806.90
  5. Step 5: Solve for x
    x = 1,766,825,806.90/57,812.67
  6. Step 6: Final answer
    x = 30,561.22

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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.