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Finding the Fourth Proportional to 203,645.86, 305,071.45 and 133,311.94

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Solution

The fourth proportional to 203,645.86, 305,071.45 and 133,311.94 is: 199,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,645.86 : 305,071.45 = 133,311.94 : x
  2. Step 2: Convert to fraction form
    203,645.86/305,071.45 = 133,311.94/x
  3. Step 3: Cross multiply
    203,645.86x = 305,071.45 × 133,311.94
  4. Step 4: Simplify right side
    203,645.86x = 40,669,665,742.15
  5. Step 5: Solve for x
    x = 40,669,665,742.15/203,645.86
  6. Step 6: Final answer
    x = 199,707.80

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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.