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Finding the Fourth Proportional to 268,757.86, 403,195.11 and 81,764.50

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Solution

The fourth proportional to 268,757.86, 403,195.11 and 81,764.50 is: 122,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,757.86 : 403,195.11 = 81,764.50 : x
  2. Step 2: Convert to fraction form
    268,757.86/403,195.11 = 81,764.50/x
  3. Step 3: Cross multiply
    268,757.86x = 403,195.11 × 81,764.50
  4. Step 4: Simplify right side
    268,757.86x = 32,967,046,571.60
  5. Step 5: Solve for x
    x = 32,967,046,571.60/268,757.86
  6. Step 6: Final answer
    x = 122,664.49

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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.