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Finding the Fourth Proportional to 200,645.70, 301,114.35 and 82,401.90

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Solution

The fourth proportional to 200,645.70, 301,114.35 and 82,401.90 is: 123,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,645.70 : 301,114.35 = 82,401.90 : x
  2. Step 2: Convert to fraction form
    200,645.70/301,114.35 = 82,401.90/x
  3. Step 3: Cross multiply
    200,645.70x = 301,114.35 × 82,401.90
  4. Step 4: Simplify right side
    200,645.70x = 24,812,394,557.27
  5. Step 5: Solve for x
    x = 24,812,394,557.27/200,645.70
  6. Step 6: Final answer
    x = 123,662.73

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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.