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Finding the Fourth Proportional to 206,634.96, 309,952.44 and 81,975.96

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Solution

The fourth proportional to 206,634.96, 309,952.44 and 81,975.96 is: 122,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,634.96 : 309,952.44 = 81,975.96 : x
  2. Step 2: Convert to fraction form
    206,634.96/309,952.44 = 81,975.96/x
  3. Step 3: Cross multiply
    206,634.96x = 309,952.44 × 81,975.96
  4. Step 4: Simplify right side
    206,634.96x = 25,408,648,823.34
  5. Step 5: Solve for x
    x = 25,408,648,823.34/206,634.96
  6. Step 6: Final answer
    x = 122,963.94

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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.