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Finding the Fourth Proportional to 206,488.37, 309,695.60 and 54,686.48

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Solution

The fourth proportional to 206,488.37, 309,695.60 and 54,686.48 is: 82,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,488.37 : 309,695.60 = 54,686.48 : x
  2. Step 2: Convert to fraction form
    206,488.37/309,695.60 = 54,686.48/x
  3. Step 3: Cross multiply
    206,488.37x = 309,695.60 × 54,686.48
  4. Step 4: Simplify right side
    206,488.37x = 16,936,160,823.73
  5. Step 5: Solve for x
    x = 16,936,160,823.73/206,488.37
  6. Step 6: Final answer
    x = 82,019.92

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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.