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Finding the Fourth Proportional to 205,377.50, 308,101.28 and 91,566.61

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Solution

The fourth proportional to 205,377.50, 308,101.28 and 91,566.61 is: 137,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,377.50 : 308,101.28 = 91,566.61 : x
  2. Step 2: Convert to fraction form
    205,377.50/308,101.28 = 91,566.61/x
  3. Step 3: Cross multiply
    205,377.50x = 308,101.28 × 91,566.61
  4. Step 4: Simplify right side
    205,377.50x = 28,211,789,204.92
  5. Step 5: Solve for x
    x = 28,211,789,204.92/205,377.50
  6. Step 6: Final answer
    x = 137,365.53

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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.