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Finding the Fourth Proportional to 206,067.64, 309,160.50 and 100,917.40

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Solution

The fourth proportional to 206,067.64, 309,160.50 and 100,917.40 is: 151,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,067.64 : 309,160.50 = 100,917.40 : x
  2. Step 2: Convert to fraction form
    206,067.64/309,160.50 = 100,917.40/x
  3. Step 3: Cross multiply
    206,067.64x = 309,160.50 × 100,917.40
  4. Step 4: Simplify right side
    206,067.64x = 31,199,673,842.70
  5. Step 5: Solve for x
    x = 31,199,673,842.70/206,067.64
  6. Step 6: Final answer
    x = 151,405.01

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1.5x scale

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.