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Finding the Fourth Proportional to 205,041.70, 307,414.92 and 125,992.60

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Solution

The fourth proportional to 205,041.70, 307,414.92 and 125,992.60 is: 188,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,041.70 : 307,414.92 = 125,992.60 : x
  2. Step 2: Convert to fraction form
    205,041.70/307,414.92 = 125,992.60/x
  3. Step 3: Cross multiply
    205,041.70x = 307,414.92 × 125,992.60
  4. Step 4: Simplify right side
    205,041.70x = 38,732,005,049.59
  5. Step 5: Solve for x
    x = 38,732,005,049.59/205,041.70
  6. Step 6: Final answer
    x = 188,898.19

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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.