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Finding the Fourth Proportional to 203,762.72, 305,246.46 and 133,428.80

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Solution

The fourth proportional to 203,762.72, 305,246.46 and 133,428.80 is: 199,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,762.72 : 305,246.46 = 133,428.80 : x
  2. Step 2: Convert to fraction form
    203,762.72/305,246.46 = 133,428.80/x
  3. Step 3: Cross multiply
    203,762.72x = 305,246.46 × 133,428.80
  4. Step 4: Simplify right side
    203,762.72x = 40,728,670,125.52
  5. Step 5: Solve for x
    x = 40,728,670,125.52/203,762.72
  6. Step 6: Final answer
    x = 199,882.83

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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.