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Finding the Fourth Proportional to 54,202.62, 81,198.72 and 39,945.20

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Solution

The fourth proportional to 54,202.62, 81,198.72 and 39,945.20 is: 59,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,202.62 : 81,198.72 = 39,945.20 : x
  2. Step 2: Convert to fraction form
    54,202.62/81,198.72 = 39,945.20/x
  3. Step 3: Cross multiply
    54,202.62x = 81,198.72 × 39,945.20
  4. Step 4: Simplify right side
    54,202.62x = 3,243,499,313.14
  5. Step 5: Solve for x
    x = 3,243,499,313.14/54,202.62
  6. Step 6: Final answer
    x = 59,840.27

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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.