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Finding the Fourth Proportional to 205,374.56, 307,930.02 and 85,514.56

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Solution

The fourth proportional to 205,374.56, 307,930.02 and 85,514.56 is: 128,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,374.56 : 307,930.02 = 85,514.56 : x
  2. Step 2: Convert to fraction form
    205,374.56/307,930.02 = 85,514.56/x
  3. Step 3: Cross multiply
    205,374.56x = 307,930.02 × 85,514.56
  4. Step 4: Simplify right side
    205,374.56x = 26,332,500,171.09
  5. Step 5: Solve for x
    x = 26,332,500,171.09/205,374.56
  6. Step 6: Final answer
    x = 128,216.95

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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.