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Finding the Fourth Proportional to 204,057.12, 305,980.32 and 91,641

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Solution

The fourth proportional to 204,057.12, 305,980.32 and 91,641 is: 137,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,057.12 : 305,980.32 = 91,641 : x
  2. Step 2: Convert to fraction form
    204,057.12/305,980.32 = 91,641/x
  3. Step 3: Cross multiply
    204,057.12x = 305,980.32 × 91,641
  4. Step 4: Simplify right side
    204,057.12x = 28,040,342,505.12
  5. Step 5: Solve for x
    x = 28,040,342,505.12/204,057.12
  6. Step 6: Final answer
    x = 137,414.18

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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.