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Finding the Fourth Proportional to 203,488.70, 305,233.05 and 85,147.70

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Solution

The fourth proportional to 203,488.70, 305,233.05 and 85,147.70 is: 127,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.70 : 305,233.05 = 85,147.70 : x
  2. Step 2: Convert to fraction form
    203,488.70/305,233.05 = 85,147.70/x
  3. Step 3: Cross multiply
    203,488.70x = 305,233.05 × 85,147.70
  4. Step 4: Simplify right side
    203,488.70x = 25,989,892,171.49
  5. Step 5: Solve for x
    x = 25,989,892,171.49/203,488.70
  6. Step 6: Final answer
    x = 127,721.55

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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.