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Finding the Fourth Proportional to 206,466.72, 309,640.57 and 56,711.89

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Solution

The fourth proportional to 206,466.72, 309,640.57 and 56,711.89 is: 85,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,466.72 : 309,640.57 = 56,711.89 : x
  2. Step 2: Convert to fraction form
    206,466.72/309,640.57 = 56,711.89/x
  3. Step 3: Cross multiply
    206,466.72x = 309,640.57 × 56,711.89
  4. Step 4: Simplify right side
    206,466.72x = 17,560,301,945.38
  5. Step 5: Solve for x
    x = 17,560,301,945.38/206,466.72
  6. Step 6: Final answer
    x = 85,051.49

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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.