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Finding the Fourth Proportional to 268,093.97, 402,198.81 and 90,597.05

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Solution

The fourth proportional to 268,093.97, 402,198.81 and 90,597.05 is: 135,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,093.97 : 402,198.81 = 90,597.05 : x
  2. Step 2: Convert to fraction form
    268,093.97/402,198.81 = 90,597.05/x
  3. Step 3: Cross multiply
    268,093.97x = 402,198.81 × 90,597.05
  4. Step 4: Simplify right side
    268,093.97x = 36,438,023,688.52
  5. Step 5: Solve for x
    x = 36,438,023,688.52/268,093.97
  6. Step 6: Final answer
    x = 135,915.12

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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.