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Finding the Fourth Proportional to 200,699.40, 300,604.92 and 82,010.64

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Solution

The fourth proportional to 200,699.40, 300,604.92 and 82,010.64 is: 122,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,699.40 : 300,604.92 = 82,010.64 : x
  2. Step 2: Convert to fraction form
    200,699.40/300,604.92 = 82,010.64/x
  3. Step 3: Cross multiply
    200,699.40x = 300,604.92 × 82,010.64
  4. Step 4: Simplify right side
    200,699.40x = 24,652,801,876.35
  5. Step 5: Solve for x
    x = 24,652,801,876.35/200,699.40
  6. Step 6: Final answer
    x = 122,834.46

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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.