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Finding the Fourth Proportional to 200,098.82, 300,148.68 and 81,770.15

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Solution

The fourth proportional to 200,098.82, 300,148.68 and 81,770.15 is: 122,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,098.82 : 300,148.68 = 81,770.15 : x
  2. Step 2: Convert to fraction form
    200,098.82/300,148.68 = 81,770.15/x
  3. Step 3: Cross multiply
    200,098.82x = 300,148.68 × 81,770.15
  4. Step 4: Simplify right side
    200,098.82x = 24,543,202,585.90
  5. Step 5: Solve for x
    x = 24,543,202,585.90/200,098.82
  6. Step 6: Final answer
    x = 122,655.41

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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.