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Finding the Fourth Proportional to 206,646.66, 309,933.60 and 56,850.79

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Solution

The fourth proportional to 206,646.66, 309,933.60 and 56,850.79 is: 85,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,646.66 : 309,933.60 = 56,850.79 : x
  2. Step 2: Convert to fraction form
    206,646.66/309,933.60 = 56,850.79/x
  3. Step 3: Cross multiply
    206,646.66x = 309,933.60 × 56,850.79
  4. Step 4: Simplify right side
    206,646.66x = 17,619,970,007.54
  5. Step 5: Solve for x
    x = 17,619,970,007.54/206,646.66
  6. Step 6: Final answer
    x = 85,266.18

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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.