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Finding the Fourth Proportional to 171,204.56, 256,432.35 and 86,819.30

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Solution

The fourth proportional to 171,204.56, 256,432.35 and 86,819.30 is: 130,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,204.56 : 256,432.35 = 86,819.30 : x
  2. Step 2: Convert to fraction form
    171,204.56/256,432.35 = 86,819.30/x
  3. Step 3: Cross multiply
    171,204.56x = 256,432.35 × 86,819.30
  4. Step 4: Simplify right side
    171,204.56x = 22,263,277,124.36
  5. Step 5: Solve for x
    x = 22,263,277,124.36/171,204.56
  6. Step 6: Final answer
    x = 130,039.04

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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.