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Finding the Fourth Proportional to 57,131.41, 85,696.20 and 15,578.41

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Solution

The fourth proportional to 57,131.41, 85,696.20 and 15,578.41 is: 23,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,131.41 : 85,696.20 = 15,578.41 : x
  2. Step 2: Convert to fraction form
    57,131.41/85,696.20 = 15,578.41/x
  3. Step 3: Cross multiply
    57,131.41x = 85,696.20 × 15,578.41
  4. Step 4: Simplify right side
    57,131.41x = 1,335,010,539.04
  5. Step 5: Solve for x
    x = 1,335,010,539.04/57,131.41
  6. Step 6: Final answer
    x = 23,367.37

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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.