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Finding the Fourth Proportional to 66,945.42, 100,418.13 and 27,491.94

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Solution

The fourth proportional to 66,945.42, 100,418.13 and 27,491.94 is: 41,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,945.42 : 100,418.13 = 27,491.94 : x
  2. Step 2: Convert to fraction form
    66,945.42/100,418.13 = 27,491.94/x
  3. Step 3: Cross multiply
    66,945.42x = 100,418.13 × 27,491.94
  4. Step 4: Simplify right side
    66,945.42x = 2,760,689,204.87
  5. Step 5: Solve for x
    x = 2,760,689,204.87/66,945.42
  6. Step 6: Final answer
    x = 41,237.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.