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Finding the Fourth Proportional to 171,110.67, 256,709.74 and 71,237.67

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Solution

The fourth proportional to 171,110.67, 256,709.74 and 71,237.67 is: 106,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,110.67 : 256,709.74 = 71,237.67 : x
  2. Step 2: Convert to fraction form
    171,110.67/256,709.74 = 71,237.67/x
  3. Step 3: Cross multiply
    171,110.67x = 256,709.74 × 71,237.67
  4. Step 4: Simplify right side
    171,110.67x = 18,287,403,743.91
  5. Step 5: Solve for x
    x = 18,287,403,743.91/171,110.67
  6. Step 6: Final answer
    x = 106,874.71

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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.