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Finding the Fourth Proportional to 73,938, 102,034.50 and 40,404

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Solution

The fourth proportional to 73,938, 102,034.50 and 40,404 is: 55,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,938 : 102,034.50 = 40,404 : x
  2. Step 2: Convert to fraction form
    73,938/102,034.50 = 40,404/x
  3. Step 3: Cross multiply
    73,938x = 102,034.50 × 40,404
  4. Step 4: Simplify right side
    73,938x = 4,122,601,938
  5. Step 5: Solve for x
    x = 4,122,601,938/73,938
  6. Step 6: Final answer
    x = 55,757.55

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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.