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Finding the Fourth Proportional to 171,021.80, 256,532.70 and 71,148.80

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Solution

The fourth proportional to 171,021.80, 256,532.70 and 71,148.80 is: 106,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,021.80 : 256,532.70 = 71,148.80 : x
  2. Step 2: Convert to fraction form
    171,021.80/256,532.70 = 71,148.80/x
  3. Step 3: Cross multiply
    171,021.80x = 256,532.70 × 71,148.80
  4. Step 4: Simplify right side
    171,021.80x = 18,251,993,765.76
  5. Step 5: Solve for x
    x = 18,251,993,765.76/171,021.80
  6. Step 6: Final answer
    x = 106,723.20

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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.