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Finding the Fourth Proportional to 123,843.36, 170,947.44 and 73,542

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Solution

The fourth proportional to 123,843.36, 170,947.44 and 73,542 is: 101,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,843.36 : 170,947.44 = 73,542 : x
  2. Step 2: Convert to fraction form
    123,843.36/170,947.44 = 73,542/x
  3. Step 3: Cross multiply
    123,843.36x = 170,947.44 × 73,542
  4. Step 4: Simplify right side
    123,843.36x = 12,571,816,632.48
  5. Step 5: Solve for x
    x = 12,571,816,632.48/123,843.36
  6. Step 6: Final answer
    x = 101,513.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.