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Finding the Fourth Proportional to 200,543.78, 300,815.68 and 95,305.34

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Solution

The fourth proportional to 200,543.78, 300,815.68 and 95,305.34 is: 142,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,543.78 : 300,815.68 = 95,305.34 : x
  2. Step 2: Convert to fraction form
    200,543.78/300,815.68 = 95,305.34/x
  3. Step 3: Cross multiply
    200,543.78x = 300,815.68 × 95,305.34
  4. Step 4: Simplify right side
    200,543.78x = 28,669,340,659.73
  5. Step 5: Solve for x
    x = 28,669,340,659.73/200,543.78
  6. Step 6: Final answer
    x = 142,958.01

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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.