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Finding the Fourth Proportional to 135,163.97, 202,724.66 and 45,206

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Solution

The fourth proportional to 135,163.97, 202,724.66 and 45,206 is: 67,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,163.97 : 202,724.66 = 45,206 : x
  2. Step 2: Convert to fraction form
    135,163.97/202,724.66 = 45,206/x
  3. Step 3: Cross multiply
    135,163.97x = 202,724.66 × 45,206
  4. Step 4: Simplify right side
    135,163.97x = 9,164,370,753.93
  5. Step 5: Solve for x
    x = 9,164,370,753.93/135,163.97
  6. Step 6: Final answer
    x = 67,801.88

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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.