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Finding the Fourth Proportional to 171,057.20, 256,585.80 and 168,141.20

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Solution

The fourth proportional to 171,057.20, 256,585.80 and 168,141.20 is: 252,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,057.20 : 256,585.80 = 168,141.20 : x
  2. Step 2: Convert to fraction form
    171,057.20/256,585.80 = 168,141.20/x
  3. Step 3: Cross multiply
    171,057.20x = 256,585.80 × 168,141.20
  4. Step 4: Simplify right side
    171,057.20x = 43,142,644,314.96
  5. Step 5: Solve for x
    x = 43,142,644,314.96/171,057.20
  6. Step 6: Final answer
    x = 252,211.80

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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.