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Finding the Fourth Proportional to 206,658.77, 309,999.70 and 64,523.68

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Solution

The fourth proportional to 206,658.77, 309,999.70 and 64,523.68 is: 96,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,658.77 : 309,999.70 = 64,523.68 : x
  2. Step 2: Convert to fraction form
    206,658.77/309,999.70 = 64,523.68/x
  3. Step 3: Cross multiply
    206,658.77x = 309,999.70 × 64,523.68
  4. Step 4: Simplify right side
    206,658.77x = 20,002,320,471.40
  5. Step 5: Solve for x
    x = 20,002,320,471.40/206,658.77
  6. Step 6: Final answer
    x = 96,789.12

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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.