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Finding the Fourth Proportional to 204,211.70, 306,390.45 and 85,919.30

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Solution

The fourth proportional to 204,211.70, 306,390.45 and 85,919.30 is: 128,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.70 : 306,390.45 = 85,919.30 : x
  2. Step 2: Convert to fraction form
    204,211.70/306,390.45 = 85,919.30/x
  3. Step 3: Cross multiply
    204,211.70x = 306,390.45 × 85,919.30
  4. Step 4: Simplify right side
    204,211.70x = 26,324,852,990.69
  5. Step 5: Solve for x
    x = 26,324,852,990.69/204,211.70
  6. Step 6: Final answer
    x = 128,909.62

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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.