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Finding the Fourth Proportional to 204,532.80, 306,673.92 and 79,728

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Solution

The fourth proportional to 204,532.80, 306,673.92 and 79,728 is: 119,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,532.80 : 306,673.92 = 79,728 : x
  2. Step 2: Convert to fraction form
    204,532.80/306,673.92 = 79,728/x
  3. Step 3: Cross multiply
    204,532.80x = 306,673.92 × 79,728
  4. Step 4: Simplify right side
    204,532.80x = 24,450,498,293.76
  5. Step 5: Solve for x
    x = 24,450,498,293.76/204,532.80
  6. Step 6: Final answer
    x = 119,543.17

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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.