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Finding the Fourth Proportional to 205,958.88, 284,209.50 and 115,299.54

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Solution

The fourth proportional to 205,958.88, 284,209.50 and 115,299.54 is: 159,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,958.88 : 284,209.50 = 115,299.54 : x
  2. Step 2: Convert to fraction form
    205,958.88/284,209.50 = 115,299.54/x
  3. Step 3: Cross multiply
    205,958.88x = 284,209.50 × 115,299.54
  4. Step 4: Simplify right side
    205,958.88x = 32,769,224,613.63
  5. Step 5: Solve for x
    x = 32,769,224,613.63/205,958.88
  6. Step 6: Final answer
    x = 159,105.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.