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Finding the Fourth Proportional to 268,903.50, 403,355.28 and 81,915

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Solution

The fourth proportional to 268,903.50, 403,355.28 and 81,915 is: 122,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,903.50 : 403,355.28 = 81,915 : x
  2. Step 2: Convert to fraction form
    268,903.50/403,355.28 = 81,915/x
  3. Step 3: Cross multiply
    268,903.50x = 403,355.28 × 81,915
  4. Step 4: Simplify right side
    268,903.50x = 33,040,847,761.20
  5. Step 5: Solve for x
    x = 33,040,847,761.20/268,903.50
  6. Step 6: Final answer
    x = 122,872.51

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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.