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Finding the Fourth Proportional to 206,010.91, 309,216.12 and 99,470.04

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Solution

The fourth proportional to 206,010.91, 309,216.12 and 99,470.04 is: 149,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,010.91 : 309,216.12 = 99,470.04 : x
  2. Step 2: Convert to fraction form
    206,010.91/309,216.12 = 99,470.04/x
  3. Step 3: Cross multiply
    206,010.91x = 309,216.12 × 99,470.04
  4. Step 4: Simplify right side
    206,010.91x = 30,757,740,031.81
  5. Step 5: Solve for x
    x = 30,757,740,031.81/206,010.91
  6. Step 6: Final answer
    x = 149,301.51

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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.