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Finding the Fourth Proportional to 200,166.96, 300,250.65 and 81,838.30

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Solution

The fourth proportional to 200,166.96, 300,250.65 and 81,838.30 is: 122,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,166.96 : 300,250.65 = 81,838.30 : x
  2. Step 2: Convert to fraction form
    200,166.96/300,250.65 = 81,838.30/x
  3. Step 3: Cross multiply
    200,166.96x = 300,250.65 × 81,838.30
  4. Step 4: Simplify right side
    200,166.96x = 24,572,002,769.90
  5. Step 5: Solve for x
    x = 24,572,002,769.90/200,166.96
  6. Step 6: Final answer
    x = 122,757.54

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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.