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Finding the Fourth Proportional to 208,911.50, 313,363.69 and 66,755.75

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Solution

The fourth proportional to 208,911.50, 313,363.69 and 66,755.75 is: 100,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,911.50 : 313,363.69 = 66,755.75 : x
  2. Step 2: Convert to fraction form
    208,911.50/313,363.69 = 66,755.75/x
  3. Step 3: Cross multiply
    208,911.50x = 313,363.69 × 66,755.75
  4. Step 4: Simplify right side
    208,911.50x = 20,918,826,415.01
  5. Step 5: Solve for x
    x = 20,918,826,415.01/208,911.50
  6. Step 6: Final answer
    x = 100,132.48

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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.