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Finding the Fourth Proportional to 205,768.69, 308,382.39 and 87,293.43

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Solution

The fourth proportional to 205,768.69, 308,382.39 and 87,293.43 is: 130,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,768.69 : 308,382.39 = 87,293.43 : x
  2. Step 2: Convert to fraction form
    205,768.69/308,382.39 = 87,293.43/x
  3. Step 3: Cross multiply
    205,768.69x = 308,382.39 × 87,293.43
  4. Step 4: Simplify right side
    205,768.69x = 26,919,756,574.70
  5. Step 5: Solve for x
    x = 26,919,756,574.70/205,768.69
  6. Step 6: Final answer
    x = 130,825.33

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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.