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Finding the Fourth Proportional to 75,321.72, 103,940.50 and 41,329.38

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Solution

The fourth proportional to 75,321.72, 103,940.50 and 41,329.38 is: 57,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,321.72 : 103,940.50 = 41,329.38 : x
  2. Step 2: Convert to fraction form
    75,321.72/103,940.50 = 41,329.38/x
  3. Step 3: Cross multiply
    75,321.72x = 103,940.50 × 41,329.38
  4. Step 4: Simplify right side
    75,321.72x = 4,295,796,421.89
  5. Step 5: Solve for x
    x = 4,295,796,421.89/75,321.72
  6. Step 6: Final answer
    x = 57,032.64

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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.