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Finding the Fourth Proportional to 204,653.78, 307,022.19 and 64,379.78

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Solution

The fourth proportional to 204,653.78, 307,022.19 and 64,379.78 is: 96,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,653.78 : 307,022.19 = 64,379.78 : x
  2. Step 2: Convert to fraction form
    204,653.78/307,022.19 = 64,379.78/x
  3. Step 3: Cross multiply
    204,653.78x = 307,022.19 × 64,379.78
  4. Step 4: Simplify right side
    204,653.78x = 19,766,021,047.32
  5. Step 5: Solve for x
    x = 19,766,021,047.32/204,653.78
  6. Step 6: Final answer
    x = 96,582.73

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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.