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Finding the Fourth Proportional to 205,057.10, 307,672.05 and 111,629.90

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Solution

The fourth proportional to 205,057.10, 307,672.05 and 111,629.90 is: 167,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,057.10 : 307,672.05 = 111,629.90 : x
  2. Step 2: Convert to fraction form
    205,057.10/307,672.05 = 111,629.90/x
  3. Step 3: Cross multiply
    205,057.10x = 307,672.05 × 111,629.90
  4. Step 4: Simplify right side
    205,057.10x = 34,345,400,174.30
  5. Step 5: Solve for x
    x = 34,345,400,174.30/205,057.10
  6. Step 6: Final answer
    x = 167,491.88

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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.