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Finding the Fourth Proportional to 206,576.81, 309,829.47 and 54,774.89

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Solution

The fourth proportional to 206,576.81, 309,829.47 and 54,774.89 is: 82,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,576.81 : 309,829.47 = 54,774.89 : x
  2. Step 2: Convert to fraction form
    206,576.81/309,829.47 = 54,774.89/x
  3. Step 3: Cross multiply
    206,576.81x = 309,829.47 × 54,774.89
  4. Step 4: Simplify right side
    206,576.81x = 16,970,875,138.01
  5. Step 5: Solve for x
    x = 16,970,875,138.01/206,576.81
  6. Step 6: Final answer
    x = 82,152.86

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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.