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Finding the Fourth Proportional to 205,382.71, 283,425 and 114,739.99

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Solution

The fourth proportional to 205,382.71, 283,425 and 114,739.99 is: 158,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,382.71 : 283,425 = 114,739.99 : x
  2. Step 2: Convert to fraction form
    205,382.71/283,425 = 114,739.99/x
  3. Step 3: Cross multiply
    205,382.71x = 283,425 × 114,739.99
  4. Step 4: Simplify right side
    205,382.71x = 32,520,181,665.75
  5. Step 5: Solve for x
    x = 32,520,181,665.75/205,382.71
  6. Step 6: Final answer
    x = 158,339.43

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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.