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Finding the Fourth Proportional to 66,977.28, 100,491.84 and 31,920.48

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Solution

The fourth proportional to 66,977.28, 100,491.84 and 31,920.48 is: 47,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,977.28 : 100,491.84 = 31,920.48 : x
  2. Step 2: Convert to fraction form
    66,977.28/100,491.84 = 31,920.48/x
  3. Step 3: Cross multiply
    66,977.28x = 100,491.84 × 31,920.48
  4. Step 4: Simplify right side
    66,977.28x = 3,207,747,768.88
  5. Step 5: Solve for x
    x = 3,207,747,768.88/66,977.28
  6. Step 6: Final answer
    x = 47,893.07

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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.