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Finding the Fourth Proportional to 206,409.54, 309,614.56 and 56,651.88

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Solution

The fourth proportional to 206,409.54, 309,614.56 and 56,651.88 is: 84,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,409.54 : 309,614.56 = 56,651.88 : x
  2. Step 2: Convert to fraction form
    206,409.54/309,614.56 = 56,651.88/x
  3. Step 3: Cross multiply
    206,409.54x = 309,614.56 × 56,651.88
  4. Step 4: Simplify right side
    206,409.54x = 17,540,246,899.37
  5. Step 5: Solve for x
    x = 17,540,246,899.37/206,409.54
  6. Step 6: Final answer
    x = 84,977.89

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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.