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Finding the Fourth Proportional to 203,672.78, 305,469.60 and 102,443.84

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Solution

The fourth proportional to 203,672.78, 305,469.60 and 102,443.84 is: 153,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,672.78 : 305,469.60 = 102,443.84 : x
  2. Step 2: Convert to fraction form
    203,672.78/305,469.60 = 102,443.84/x
  3. Step 3: Cross multiply
    203,672.78x = 305,469.60 × 102,443.84
  4. Step 4: Simplify right side
    203,672.78x = 31,293,478,827.26
  5. Step 5: Solve for x
    x = 31,293,478,827.26/203,672.78
  6. Step 6: Final answer
    x = 153,645.86

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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.