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Finding the Fourth Proportional to 54,791.67, 82,138.16 and 19,706.66

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Solution

The fourth proportional to 54,791.67, 82,138.16 and 19,706.66 is: 29,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,791.67 : 82,138.16 = 19,706.66 : x
  2. Step 2: Convert to fraction form
    54,791.67/82,138.16 = 19,706.66/x
  3. Step 3: Cross multiply
    54,791.67x = 82,138.16 × 19,706.66
  4. Step 4: Simplify right side
    54,791.67x = 1,618,668,282.92
  5. Step 5: Solve for x
    x = 1,618,668,282.92/54,791.67
  6. Step 6: Final answer
    x = 29,542.23

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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.