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Finding the Fourth Proportional to 205,773.70, 308,660.55 and 121,447.30

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Solution

The fourth proportional to 205,773.70, 308,660.55 and 121,447.30 is: 182,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,773.70 : 308,660.55 = 121,447.30 : x
  2. Step 2: Convert to fraction form
    205,773.70/308,660.55 = 121,447.30/x
  3. Step 3: Cross multiply
    205,773.70x = 308,660.55 × 121,447.30
  4. Step 4: Simplify right side
    205,773.70x = 37,485,990,414.02
  5. Step 5: Solve for x
    x = 37,485,990,414.02/205,773.70
  6. Step 6: Final answer
    x = 182,170.95

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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.