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Finding the Fourth Proportional to 200,006.82, 300,010.52 and 81,678.16

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Solution

The fourth proportional to 200,006.82, 300,010.52 and 81,678.16 is: 122,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,006.82 : 300,010.52 = 81,678.16 : x
  2. Step 2: Convert to fraction form
    200,006.82/300,010.52 = 81,678.16/x
  3. Step 3: Cross multiply
    200,006.82x = 300,010.52 × 81,678.16
  4. Step 4: Simplify right side
    200,006.82x = 24,504,305,754.19
  5. Step 5: Solve for x
    x = 24,504,305,754.19/200,006.82
  6. Step 6: Final answer
    x = 122,517.35

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1.5x scale

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.