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Finding the Fourth Proportional to 205,706.37, 283,901.05 and 115,067.37

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Solution

The fourth proportional to 205,706.37, 283,901.05 and 115,067.37 is: 158,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,706.37 : 283,901.05 = 115,067.37 : x
  2. Step 2: Convert to fraction form
    205,706.37/283,901.05 = 115,067.37/x
  3. Step 3: Cross multiply
    205,706.37x = 283,901.05 × 115,067.37
  4. Step 4: Simplify right side
    205,706.37x = 32,667,745,811.44
  5. Step 5: Solve for x
    x = 32,667,745,811.44/205,706.37
  6. Step 6: Final answer
    x = 158,807.66

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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.