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Finding the Fourth Proportional to 205,821.59, 308,729.02 and 65,578.31

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Solution

The fourth proportional to 205,821.59, 308,729.02 and 65,578.31 is: 98,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,821.59 : 308,729.02 = 65,578.31 : x
  2. Step 2: Convert to fraction form
    205,821.59/308,729.02 = 65,578.31/x
  3. Step 3: Cross multiply
    205,821.59x = 308,729.02 × 65,578.31
  4. Step 4: Simplify right side
    205,821.59x = 20,245,925,671.97
  5. Step 5: Solve for x
    x = 20,245,925,671.97/205,821.59
  6. Step 6: Final answer
    x = 98,366.39

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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.