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Finding the Fourth Proportional to 206,588.48, 309,218.31 and 106,612.47

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Solution

The fourth proportional to 206,588.48, 309,218.31 and 106,612.47 is: 159,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,588.48 : 309,218.31 = 106,612.47 : x
  2. Step 2: Convert to fraction form
    206,588.48/309,218.31 = 106,612.47/x
  3. Step 3: Cross multiply
    206,588.48x = 309,218.31 × 106,612.47
  4. Step 4: Simplify right side
    206,588.48x = 32,966,527,798.33
  5. Step 5: Solve for x
    x = 32,966,527,798.33/206,588.48
  6. Step 6: Final answer
    x = 159,575.83

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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.