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Finding the Fourth Proportional to 206,977.82, 310,499.12 and 66,750.62

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Solution

The fourth proportional to 206,977.82, 310,499.12 and 66,750.62 is: 100,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,977.82 : 310,499.12 = 66,750.62 : x
  2. Step 2: Convert to fraction form
    206,977.82/310,499.12 = 66,750.62/x
  3. Step 3: Cross multiply
    206,977.82x = 310,499.12 × 66,750.62
  4. Step 4: Simplify right side
    206,977.82x = 20,726,007,383.84
  5. Step 5: Solve for x
    x = 20,726,007,383.84/206,977.82
  6. Step 6: Final answer
    x = 100,136.37

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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.