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Finding the Fourth Proportional to 206,576.31, 309,828.72 and 54,774.39

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Solution

The fourth proportional to 206,576.31, 309,828.72 and 54,774.39 is: 82,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,576.31 : 309,828.72 = 54,774.39 : x
  2. Step 2: Convert to fraction form
    206,576.31/309,828.72 = 54,774.39/x
  3. Step 3: Cross multiply
    206,576.31x = 309,828.72 × 54,774.39
  4. Step 4: Simplify right side
    206,576.31x = 16,970,679,142.48
  5. Step 5: Solve for x
    x = 16,970,679,142.48/206,576.31
  6. Step 6: Final answer
    x = 82,152.11

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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.