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Finding the Fourth Proportional to 215,505, 323,309.34 and 67,761

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Solution

The fourth proportional to 215,505, 323,309.34 and 67,761 is: 101,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,505 : 323,309.34 = 67,761 : x
  2. Step 2: Convert to fraction form
    215,505/323,309.34 = 67,761/x
  3. Step 3: Cross multiply
    215,505x = 323,309.34 × 67,761
  4. Step 4: Simplify right side
    215,505x = 21,907,764,187.74
  5. Step 5: Solve for x
    x = 21,907,764,187.74/215,505
  6. Step 6: Final answer
    x = 101,657.80

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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.