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Finding the Fourth Proportional to 203,898.70, 305,848.05 and 133,039.90

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Solution

The fourth proportional to 203,898.70, 305,848.05 and 133,039.90 is: 199,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,898.70 : 305,848.05 = 133,039.90 : x
  2. Step 2: Convert to fraction form
    203,898.70/305,848.05 = 133,039.90/x
  3. Step 3: Cross multiply
    203,898.70x = 305,848.05 × 133,039.90
  4. Step 4: Simplify right side
    203,898.70x = 40,689,993,987.20
  5. Step 5: Solve for x
    x = 40,689,993,987.20/203,898.70
  6. Step 6: Final answer
    x = 199,559.85

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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.