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Finding the Fourth Proportional to 206,485.52, 309,691.25 and 54,683.56

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Solution

The fourth proportional to 206,485.52, 309,691.25 and 54,683.56 is: 82,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,485.52 : 309,691.25 = 54,683.56 : x
  2. Step 2: Convert to fraction form
    206,485.52/309,691.25 = 54,683.56/x
  3. Step 3: Cross multiply
    206,485.52x = 309,691.25 × 54,683.56
  4. Step 4: Simplify right side
    206,485.52x = 16,935,018,228.98
  5. Step 5: Solve for x
    x = 16,935,018,228.98/206,485.52
  6. Step 6: Final answer
    x = 82,015.52

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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.