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Finding the Fourth Proportional to 110,755, 165,861.06 and 100,104.76

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Solution

The fourth proportional to 110,755, 165,861.06 and 100,104.76 is: 149,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,755 : 165,861.06 = 100,104.76 : x
  2. Step 2: Convert to fraction form
    110,755/165,861.06 = 100,104.76/x
  3. Step 3: Cross multiply
    110,755x = 165,861.06 × 100,104.76
  4. Step 4: Simplify right side
    110,755x = 16,603,481,604.65
  5. Step 5: Solve for x
    x = 16,603,481,604.65/110,755
  6. Step 6: Final answer
    x = 149,911.80

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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.