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Finding the Fourth Proportional to 205,561.70, 308,202.23 and 109,513.27

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Solution

The fourth proportional to 205,561.70, 308,202.23 and 109,513.27 is: 164,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,561.70 : 308,202.23 = 109,513.27 : x
  2. Step 2: Convert to fraction form
    205,561.70/308,202.23 = 109,513.27/x
  3. Step 3: Cross multiply
    205,561.70x = 308,202.23 × 109,513.27
  4. Step 4: Simplify right side
    205,561.70x = 33,752,234,687.63
  5. Step 5: Solve for x
    x = 33,752,234,687.63/205,561.70
  6. Step 6: Final answer
    x = 164,195.15

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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.