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Finding the Fourth Proportional to 262,800, 362,665.62 and 143,568

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Solution

The fourth proportional to 262,800, 362,665.62 and 143,568 is: 198,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,800 : 362,665.62 = 143,568 : x
  2. Step 2: Convert to fraction form
    262,800/362,665.62 = 143,568/x
  3. Step 3: Cross multiply
    262,800x = 362,665.62 × 143,568
  4. Step 4: Simplify right side
    262,800x = 52,067,177,732.16
  5. Step 5: Solve for x
    x = 52,067,177,732.16/262,800
  6. Step 6: Final answer
    x = 198,124.73

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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.