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Finding the Fourth Proportional to 268,894.08, 403,326.54 and 81,891

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Solution

The fourth proportional to 268,894.08, 403,326.54 and 81,891 is: 122,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,894.08 : 403,326.54 = 81,891 : x
  2. Step 2: Convert to fraction form
    268,894.08/403,326.54 = 81,891/x
  3. Step 3: Cross multiply
    268,894.08x = 403,326.54 × 81,891
  4. Step 4: Simplify right side
    268,894.08x = 33,028,813,687.14
  5. Step 5: Solve for x
    x = 33,028,813,687.14/268,894.08
  6. Step 6: Final answer
    x = 122,832.06

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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.