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Finding the Fourth Proportional to 200,438.34, 300,657.30 and 82,109.88

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Solution

The fourth proportional to 200,438.34, 300,657.30 and 82,109.88 is: 123,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,438.34 : 300,657.30 = 82,109.88 : x
  2. Step 2: Convert to fraction form
    200,438.34/300,657.30 = 82,109.88/x
  3. Step 3: Cross multiply
    200,438.34x = 300,657.30 × 82,109.88
  4. Step 4: Simplify right side
    200,438.34x = 24,686,934,824.12
  5. Step 5: Solve for x
    x = 24,686,934,824.12/200,438.34
  6. Step 6: Final answer
    x = 123,164.73

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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.