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Finding the Fourth Proportional to 204,692.28, 307,079.82 and 86,363.88

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Solution

The fourth proportional to 204,692.28, 307,079.82 and 86,363.88 is: 129,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,692.28 : 307,079.82 = 86,363.88 : x
  2. Step 2: Convert to fraction form
    204,692.28/307,079.82 = 86,363.88/x
  3. Step 3: Cross multiply
    204,692.28x = 307,079.82 × 86,363.88
  4. Step 4: Simplify right side
    204,692.28x = 26,520,604,724.90
  5. Step 5: Solve for x
    x = 26,520,604,724.90/204,692.28
  6. Step 6: Final answer
    x = 129,563.29

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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.