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Finding the Fourth Proportional to 41,978.66, 57,930.19 and 23,115.38

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Solution

The fourth proportional to 41,978.66, 57,930.19 and 23,115.38 is: 31,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.66 : 57,930.19 = 23,115.38 : x
  2. Step 2: Convert to fraction form
    41,978.66/57,930.19 = 23,115.38/x
  3. Step 3: Cross multiply
    41,978.66x = 57,930.19 × 23,115.38
  4. Step 4: Simplify right side
    41,978.66x = 1,339,078,007.88
  5. Step 5: Solve for x
    x = 1,339,078,007.88/41,978.66
  6. Step 6: Final answer
    x = 31,899.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.