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Finding the Fourth Proportional to 205,644.29, 308,351.81 and 63,449.19

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Solution

The fourth proportional to 205,644.29, 308,351.81 and 63,449.19 is: 95,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,644.29 : 308,351.81 = 63,449.19 : x
  2. Step 2: Convert to fraction form
    205,644.29/308,351.81 = 63,449.19/x
  3. Step 3: Cross multiply
    205,644.29x = 308,351.81 × 63,449.19
  4. Step 4: Simplify right side
    205,644.29x = 19,564,672,738.16
  5. Step 5: Solve for x
    x = 19,564,672,738.16/205,644.29
  6. Step 6: Final answer
    x = 95,138.42

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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.