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Finding the Fourth Proportional to 54,202.82, 81,199.01 and 39,945.40

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Solution

The fourth proportional to 54,202.82, 81,199.01 and 39,945.40 is: 59,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,202.82 : 81,199.01 = 39,945.40 : x
  2. Step 2: Convert to fraction form
    54,202.82/81,199.01 = 39,945.40/x
  3. Step 3: Cross multiply
    54,202.82x = 81,199.01 × 39,945.40
  4. Step 4: Simplify right side
    54,202.82x = 3,243,526,830.92
  5. Step 5: Solve for x
    x = 3,243,526,830.92/54,202.82
  6. Step 6: Final answer
    x = 59,840.56

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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.