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Finding the Fourth Proportional to 203,909.38, 305,929.07 and 85,548.94

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Solution

The fourth proportional to 203,909.38, 305,929.07 and 85,548.94 is: 128,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,909.38 : 305,929.07 = 85,548.94 : x
  2. Step 2: Convert to fraction form
    203,909.38/305,929.07 = 85,548.94/x
  3. Step 3: Cross multiply
    203,909.38x = 305,929.07 × 85,548.94
  4. Step 4: Simplify right side
    203,909.38x = 26,171,905,696.30
  5. Step 5: Solve for x
    x = 26,171,905,696.30/203,909.38
  6. Step 6: Final answer
    x = 128,350.67

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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.