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Finding the Fourth Proportional to 204,712.56, 307,010.52 and 129,719.52

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Solution

The fourth proportional to 204,712.56, 307,010.52 and 129,719.52 is: 194,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,712.56 : 307,010.52 = 129,719.52 : x
  2. Step 2: Convert to fraction form
    204,712.56/307,010.52 = 129,719.52/x
  3. Step 3: Cross multiply
    204,712.56x = 307,010.52 × 129,719.52
  4. Step 4: Simplify right side
    204,712.56x = 39,825,257,289.35
  5. Step 5: Solve for x
    x = 39,825,257,289.35/204,712.56
  6. Step 6: Final answer
    x = 194,542.32

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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.