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Finding the Fourth Proportional to 203,665.89, 305,513.82 and 53,905.16

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Solution

The fourth proportional to 203,665.89, 305,513.82 and 53,905.16 is: 80,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,665.89 : 305,513.82 = 53,905.16 : x
  2. Step 2: Convert to fraction form
    203,665.89/305,513.82 = 53,905.16/x
  3. Step 3: Cross multiply
    203,665.89x = 305,513.82 × 53,905.16
  4. Step 4: Simplify right side
    203,665.89x = 16,468,771,349.31
  5. Step 5: Solve for x
    x = 16,468,771,349.31/203,665.89
  6. Step 6: Final answer
    x = 80,861.71

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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.