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Finding the Fourth Proportional to 205,591.71, 308,384.33 and 65,348.31

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Solution

The fourth proportional to 205,591.71, 308,384.33 and 65,348.31 is: 98,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,591.71 : 308,384.33 = 65,348.31 : x
  2. Step 2: Convert to fraction form
    205,591.71/308,384.33 = 65,348.31/x
  3. Step 3: Cross multiply
    205,591.71x = 308,384.33 × 65,348.31
  4. Step 4: Simplify right side
    205,591.71x = 20,152,394,469.24
  5. Step 5: Solve for x
    x = 20,152,394,469.24/205,591.71
  6. Step 6: Final answer
    x = 98,021.44

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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.