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Finding the Fourth Proportional to 206,448.27, 309,598.11 and 71,475.68

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Solution

The fourth proportional to 206,448.27, 309,598.11 and 71,475.68 is: 107,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,448.27 : 309,598.11 = 71,475.68 : x
  2. Step 2: Convert to fraction form
    206,448.27/309,598.11 = 71,475.68/x
  3. Step 3: Cross multiply
    206,448.27x = 309,598.11 × 71,475.68
  4. Step 4: Simplify right side
    206,448.27x = 22,128,733,890.97
  5. Step 5: Solve for x
    x = 22,128,733,890.97/206,448.27
  6. Step 6: Final answer
    x = 107,187.79

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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.