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Finding the Fourth Proportional to 206,299.33, 309,451.71 and 66,057.95

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Solution

The fourth proportional to 206,299.33, 309,451.71 and 66,057.95 is: 99,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,299.33 : 309,451.71 = 66,057.95 : x
  2. Step 2: Convert to fraction form
    206,299.33/309,451.71 = 66,057.95/x
  3. Step 3: Cross multiply
    206,299.33x = 309,451.71 × 66,057.95
  4. Step 4: Simplify right side
    206,299.33x = 20,441,746,607.94
  5. Step 5: Solve for x
    x = 20,441,746,607.94/206,299.33
  6. Step 6: Final answer
    x = 99,087.80

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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.