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Finding the Fourth Proportional to 206,296.83, 309,449.57 and 66,055.05

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Solution

The fourth proportional to 206,296.83, 309,449.57 and 66,055.05 is: 99,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,296.83 : 309,449.57 = 66,055.05 : x
  2. Step 2: Convert to fraction form
    206,296.83/309,449.57 = 66,055.05/x
  3. Step 3: Cross multiply
    206,296.83x = 309,449.57 × 66,055.05
  4. Step 4: Simplify right side
    206,296.83x = 20,440,706,488.55
  5. Step 5: Solve for x
    x = 20,440,706,488.55/206,296.83
  6. Step 6: Final answer
    x = 99,083.96

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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.