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Finding the Fourth Proportional to 204,116.70, 306,138.60 and 129,102.60

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Solution

The fourth proportional to 204,116.70, 306,138.60 and 129,102.60 is: 193,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,116.70 : 306,138.60 = 129,102.60 : x
  2. Step 2: Convert to fraction form
    204,116.70/306,138.60 = 129,102.60/x
  3. Step 3: Cross multiply
    204,116.70x = 306,138.60 × 129,102.60
  4. Step 4: Simplify right side
    204,116.70x = 39,523,289,220.36
  5. Step 5: Solve for x
    x = 39,523,289,220.36/204,116.70
  6. Step 6: Final answer
    x = 193,630.85

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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.