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Finding the Fourth Proportional to 206,589.48, 309,219.81 and 106,613.47

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Solution

The fourth proportional to 206,589.48, 309,219.81 and 106,613.47 is: 159,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,589.48 : 309,219.81 = 106,613.47 : x
  2. Step 2: Convert to fraction form
    206,589.48/309,219.81 = 106,613.47/x
  3. Step 3: Cross multiply
    206,589.48x = 309,219.81 × 106,613.47
  4. Step 4: Simplify right side
    206,589.48x = 32,966,996,936.84
  5. Step 5: Solve for x
    x = 32,966,996,936.84/206,589.48
  6. Step 6: Final answer
    x = 159,577.33

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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.