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Finding the Fourth Proportional to 203,807.80, 305,711.46 and 133,670.70

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Solution

The fourth proportional to 203,807.80, 305,711.46 and 133,670.70 is: 200,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,807.80 : 305,711.46 = 133,670.70 : x
  2. Step 2: Convert to fraction form
    203,807.80/305,711.46 = 133,670.70/x
  3. Step 3: Cross multiply
    203,807.80x = 305,711.46 × 133,670.70
  4. Step 4: Simplify right side
    203,807.80x = 40,864,664,856.22
  5. Step 5: Solve for x
    x = 40,864,664,856.22/203,807.80
  6. Step 6: Final answer
    x = 200,505.89

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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.