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Finding the Fourth Proportional to 206,185.20, 309,266.56 and 56,414.68

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Solution

The fourth proportional to 206,185.20, 309,266.56 and 56,414.68 is: 84,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,185.20 : 309,266.56 = 56,414.68 : x
  2. Step 2: Convert to fraction form
    206,185.20/309,266.56 = 56,414.68/x
  3. Step 3: Cross multiply
    206,185.20x = 309,266.56 × 56,414.68
  4. Step 4: Simplify right side
    206,185.20x = 17,447,174,736.74
  5. Step 5: Solve for x
    x = 17,447,174,736.74/206,185.20
  6. Step 6: Final answer
    x = 84,618.95

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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.