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Finding the Fourth Proportional to 66,938.28, 100,422.26 and 20,187.78

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Solution

The fourth proportional to 66,938.28, 100,422.26 and 20,187.78 is: 30,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,938.28 : 100,422.26 = 20,187.78 : x
  2. Step 2: Convert to fraction form
    66,938.28/100,422.26 = 20,187.78/x
  3. Step 3: Cross multiply
    66,938.28x = 100,422.26 × 20,187.78
  4. Step 4: Simplify right side
    66,938.28x = 2,027,302,491.98
  5. Step 5: Solve for x
    x = 2,027,302,491.98/66,938.28
  6. Step 6: Final answer
    x = 30,286.15

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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.