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Finding the Fourth Proportional to 171,109.67, 256,708.24 and 71,236.67

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Solution

The fourth proportional to 171,109.67, 256,708.24 and 71,236.67 is: 106,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,109.67 : 256,708.24 = 71,236.67 : x
  2. Step 2: Convert to fraction form
    171,109.67/256,708.24 = 71,236.67/x
  3. Step 3: Cross multiply
    171,109.67x = 256,708.24 × 71,236.67
  4. Step 4: Simplify right side
    171,109.67x = 18,287,038,717.53
  5. Step 5: Solve for x
    x = 18,287,038,717.53/171,109.67
  6. Step 6: Final answer
    x = 106,873.21

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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.