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Finding the Fourth Proportional to 205,906.89, 308,913.57 and 120,589.86

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Solution

The fourth proportional to 205,906.89, 308,913.57 and 120,589.86 is: 180,915.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,906.89 : 308,913.57 = 120,589.86 : x
  2. Step 2: Convert to fraction form
    205,906.89/308,913.57 = 120,589.86/x
  3. Step 3: Cross multiply
    205,906.89x = 308,913.57 × 120,589.86
  4. Step 4: Simplify right side
    205,906.89x = 37,251,844,158.40
  5. Step 5: Solve for x
    x = 37,251,844,158.40/205,906.89
  6. Step 6: Final answer
    x = 180,915.97

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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.