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Finding the Fourth Proportional to 205,171.52, 282,797.78 and 137,163.71

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Solution

The fourth proportional to 205,171.52, 282,797.78 and 137,163.71 is: 189,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,171.52 : 282,797.78 = 137,163.71 : x
  2. Step 2: Convert to fraction form
    205,171.52/282,797.78 = 137,163.71/x
  3. Step 3: Cross multiply
    205,171.52x = 282,797.78 × 137,163.71
  4. Step 4: Simplify right side
    205,171.52x = 38,789,590,584.76
  5. Step 5: Solve for x
    x = 38,789,590,584.76/205,171.52
  6. Step 6: Final answer
    x = 189,059.34

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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.