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Finding the Fourth Proportional to 206,112, 309,054.40 and 63,917.92

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Solution

The fourth proportional to 206,112, 309,054.40 and 63,917.92 is: 95,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,112 : 309,054.40 = 63,917.92 : x
  2. Step 2: Convert to fraction form
    206,112/309,054.40 = 63,917.92/x
  3. Step 3: Cross multiply
    206,112x = 309,054.40 × 63,917.92
  4. Step 4: Simplify right side
    206,112x = 19,754,114,414.85
  5. Step 5: Solve for x
    x = 19,754,114,414.85/206,112
  6. Step 6: Final answer
    x = 95,841.65

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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.