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Finding the Fourth Proportional to 41,978.52, 57,930.78 and 23,115.72

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Solution

The fourth proportional to 41,978.52, 57,930.78 and 23,115.72 is: 31,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.52 : 57,930.78 = 23,115.72 : x
  2. Step 2: Convert to fraction form
    41,978.52/57,930.78 = 23,115.72/x
  3. Step 3: Cross multiply
    41,978.52x = 57,930.78 × 23,115.72
  4. Step 4: Simplify right side
    41,978.52x = 1,339,111,689.86
  5. Step 5: Solve for x
    x = 1,339,111,689.86/41,978.52
  6. Step 6: Final answer
    x = 31,899.93

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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.