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Finding the Fourth Proportional to 206,297.48, 309,654.90 and 106,528.97

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Solution

The fourth proportional to 206,297.48, 309,654.90 and 106,528.97 is: 159,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,297.48 : 309,654.90 = 106,528.97 : x
  2. Step 2: Convert to fraction form
    206,297.48/309,654.90 = 106,528.97/x
  3. Step 3: Cross multiply
    206,297.48x = 309,654.90 × 106,528.97
  4. Step 4: Simplify right side
    206,297.48x = 32,987,218,326.59
  5. Step 5: Solve for x
    x = 32,987,218,326.59/206,297.48
  6. Step 6: Final answer
    x = 159,901.22

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1.5x scale

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.