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Finding the Fourth Proportional to 206,198.97, 309,346.75 and 64,036.98

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Solution

The fourth proportional to 206,198.97, 309,346.75 and 64,036.98 is: 96,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,198.97 : 309,346.75 = 64,036.98 : x
  2. Step 2: Convert to fraction form
    206,198.97/309,346.75 = 64,036.98/x
  3. Step 3: Cross multiply
    206,198.97x = 309,346.75 × 64,036.98
  4. Step 4: Simplify right side
    206,198.97x = 19,809,631,362.65
  5. Step 5: Solve for x
    x = 19,809,631,362.65/206,198.97
  6. Step 6: Final answer
    x = 96,070.47

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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.