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Finding the Fourth Proportional to 268,757.36, 403,194.36 and 81,764

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Solution

The fourth proportional to 268,757.36, 403,194.36 and 81,764 is: 122,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,757.36 : 403,194.36 = 81,764 : x
  2. Step 2: Convert to fraction form
    268,757.36/403,194.36 = 81,764/x
  3. Step 3: Cross multiply
    268,757.36x = 403,194.36 × 81,764
  4. Step 4: Simplify right side
    268,757.36x = 32,966,783,651.04
  5. Step 5: Solve for x
    x = 32,966,783,651.04/268,757.36
  6. Step 6: Final answer
    x = 122,663.74

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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.