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Finding the Fourth Proportional to 206,475.39, 309,683.93 and 66,215.79

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Solution

The fourth proportional to 206,475.39, 309,683.93 and 66,215.79 is: 99,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,475.39 : 309,683.93 = 66,215.79 : x
  2. Step 2: Convert to fraction form
    206,475.39/309,683.93 = 66,215.79/x
  3. Step 3: Cross multiply
    206,475.39x = 309,683.93 × 66,215.79
  4. Step 4: Simplify right side
    206,475.39x = 20,505,965,744.18
  5. Step 5: Solve for x
    x = 20,505,965,744.18/206,475.39
  6. Step 6: Final answer
    x = 99,314.33

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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.