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Finding the Fourth Proportional to 171,057.20, 255,894.60 and 147,940.40

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Solution

The fourth proportional to 171,057.20, 255,894.60 and 147,940.40 is: 221,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,057.20 : 255,894.60 = 147,940.40 : x
  2. Step 2: Convert to fraction form
    171,057.20/255,894.60 = 147,940.40/x
  3. Step 3: Cross multiply
    171,057.20x = 255,894.60 × 147,940.40
  4. Step 4: Simplify right side
    171,057.20x = 37,857,149,481.84
  5. Step 5: Solve for x
    x = 37,857,149,481.84/171,057.20
  6. Step 6: Final answer
    x = 221,312.81

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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.