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Finding the Fourth Proportional to 205,392.40, 283,289.88 and 129,868

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Solution

The fourth proportional to 205,392.40, 283,289.88 and 129,868 is: 179,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,392.40 : 283,289.88 = 129,868 : x
  2. Step 2: Convert to fraction form
    205,392.40/283,289.88 = 129,868/x
  3. Step 3: Cross multiply
    205,392.40x = 283,289.88 × 129,868
  4. Step 4: Simplify right side
    205,392.40x = 36,790,290,135.84
  5. Step 5: Solve for x
    x = 36,790,290,135.84/205,392.40
  6. Step 6: Final answer
    x = 179,121.96

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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.