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Finding the Fourth Proportional to 54,197.82, 81,191.52 and 39,940.40

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Solution

The fourth proportional to 54,197.82, 81,191.52 and 39,940.40 is: 59,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,197.82 : 81,191.52 = 39,940.40 : x
  2. Step 2: Convert to fraction form
    54,197.82/81,191.52 = 39,940.40/x
  3. Step 3: Cross multiply
    54,197.82x = 81,191.52 × 39,940.40
  4. Step 4: Simplify right side
    54,197.82x = 3,242,821,379.45
  5. Step 5: Solve for x
    x = 3,242,821,379.45/54,197.82
  6. Step 6: Final answer
    x = 59,833.06

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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.