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Finding the Fourth Proportional to 204,478.16, 306,721.31 and 54,718.20

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Solution

The fourth proportional to 204,478.16, 306,721.31 and 54,718.20 is: 82,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,478.16 : 306,721.31 = 54,718.20 : x
  2. Step 2: Convert to fraction form
    204,478.16/306,721.31 = 54,718.20/x
  3. Step 3: Cross multiply
    204,478.16x = 306,721.31 × 54,718.20
  4. Step 4: Simplify right side
    204,478.16x = 16,783,237,711.25
  5. Step 5: Solve for x
    x = 16,783,237,711.25/204,478.16
  6. Step 6: Final answer
    x = 82,078.39

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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.