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Finding the Fourth Proportional to 171,336.75, 257,098.10 and 71,505.67

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Solution

The fourth proportional to 171,336.75, 257,098.10 and 71,505.67 is: 107,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,336.75 : 257,098.10 = 71,505.67 : x
  2. Step 2: Convert to fraction form
    171,336.75/257,098.10 = 71,505.67/x
  3. Step 3: Cross multiply
    171,336.75x = 257,098.10 × 71,505.67
  4. Step 4: Simplify right side
    171,336.75x = 18,383,971,432.25
  5. Step 5: Solve for x
    x = 18,383,971,432.25/171,336.75
  6. Step 6: Final answer
    x = 107,297.30

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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.