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Finding the Fourth Proportional to 268,911.20, 403,323.60 and 81,879.20

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Solution

The fourth proportional to 268,911.20, 403,323.60 and 81,879.20 is: 122,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,911.20 : 403,323.60 = 81,879.20 : x
  2. Step 2: Convert to fraction form
    268,911.20/403,323.60 = 81,879.20/x
  3. Step 3: Cross multiply
    268,911.20x = 403,323.60 × 81,879.20
  4. Step 4: Simplify right side
    268,911.20x = 33,023,813,709.12
  5. Step 5: Solve for x
    x = 33,023,813,709.12/268,911.20
  6. Step 6: Final answer
    x = 122,805.65

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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.