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Finding the Fourth Proportional to 206,308.86, 309,467.58 and 66,067.08

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Solution

The fourth proportional to 206,308.86, 309,467.58 and 66,067.08 is: 99,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,308.86 : 309,467.58 = 66,067.08 : x
  2. Step 2: Convert to fraction form
    206,308.86/309,467.58 = 66,067.08/x
  3. Step 3: Cross multiply
    206,308.86x = 309,467.58 × 66,067.08
  4. Step 4: Simplify right side
    206,308.86x = 20,445,619,365.27
  5. Step 5: Solve for x
    x = 20,445,619,365.27/206,308.86
  6. Step 6: Final answer
    x = 99,101.99

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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.