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Finding the Fourth Proportional to 206,379.75, 309,548.89 and 56,635.10

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Solution

The fourth proportional to 206,379.75, 309,548.89 and 56,635.10 is: 84,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,379.75 : 309,548.89 = 56,635.10 : x
  2. Step 2: Convert to fraction form
    206,379.75/309,548.89 = 56,635.10/x
  3. Step 3: Cross multiply
    206,379.75x = 309,548.89 × 56,635.10
  4. Step 4: Simplify right side
    206,379.75x = 17,531,332,023.90
  5. Step 5: Solve for x
    x = 17,531,332,023.90/206,379.75
  6. Step 6: Final answer
    x = 84,946.96

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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.