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Finding the Fourth Proportional to 206,068.14, 309,161.25 and 100,917.90

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Solution

The fourth proportional to 206,068.14, 309,161.25 and 100,917.90 is: 151,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,068.14 : 309,161.25 = 100,917.90 : x
  2. Step 2: Convert to fraction form
    206,068.14/309,161.25 = 100,917.90/x
  3. Step 3: Cross multiply
    206,068.14x = 309,161.25 × 100,917.90
  4. Step 4: Simplify right side
    206,068.14x = 31,199,904,111.38
  5. Step 5: Solve for x
    x = 31,199,904,111.38/206,068.14
  6. Step 6: Final answer
    x = 151,405.76

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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.