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Finding the Fourth Proportional to 171,057.40, 256,586.10 and 161,380.60

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Solution

The fourth proportional to 171,057.40, 256,586.10 and 161,380.60 is: 242,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,057.40 : 256,586.10 = 161,380.60 : x
  2. Step 2: Convert to fraction form
    171,057.40/256,586.10 = 161,380.60/x
  3. Step 3: Cross multiply
    171,057.40x = 256,586.10 × 161,380.60
  4. Step 4: Simplify right side
    171,057.40x = 41,408,018,769.66
  5. Step 5: Solve for x
    x = 41,408,018,769.66/171,057.40
  6. Step 6: Final answer
    x = 242,070.90

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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.