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Finding the Fourth Proportional to 206,832.49, 310,231.45 and 82,140.01

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Solution

The fourth proportional to 206,832.49, 310,231.45 and 82,140.01 is: 123,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,832.49 : 310,231.45 = 82,140.01 : x
  2. Step 2: Convert to fraction form
    206,832.49/310,231.45 = 82,140.01/x
  3. Step 3: Cross multiply
    206,832.49x = 310,231.45 × 82,140.01
  4. Step 4: Simplify right side
    206,832.49x = 25,482,414,405.31
  5. Step 5: Solve for x
    x = 25,482,414,405.31/206,832.49
  6. Step 6: Final answer
    x = 123,203.15

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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.