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Finding the Fourth Proportional to 204,066.70, 306,245.85 and 85,822.90

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Solution

The fourth proportional to 204,066.70, 306,245.85 and 85,822.90 is: 128,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,066.70 : 306,245.85 = 85,822.90 : x
  2. Step 2: Convert to fraction form
    204,066.70/306,245.85 = 85,822.90/x
  3. Step 3: Cross multiply
    204,066.70x = 306,245.85 × 85,822.90
  4. Step 4: Simplify right side
    204,066.70x = 26,282,906,959.97
  5. Step 5: Solve for x
    x = 26,282,906,959.97/204,066.70
  6. Step 6: Final answer
    x = 128,795.67

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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.