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Finding the Fourth Proportional to 75,310.91, 103,930.11 and 41,318.78

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Solution

The fourth proportional to 75,310.91, 103,930.11 and 41,318.78 is: 57,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,310.91 : 103,930.11 = 41,318.78 : x
  2. Step 2: Convert to fraction form
    75,310.91/103,930.11 = 41,318.78/x
  3. Step 3: Cross multiply
    75,310.91x = 103,930.11 × 41,318.78
  4. Step 4: Simplify right side
    75,310.91x = 4,294,264,830.82
  5. Step 5: Solve for x
    x = 4,294,264,830.82/75,310.91
  6. Step 6: Final answer
    x = 57,020.49

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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.