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Finding the Fourth Proportional to 203,338.88, 305,046.70 and 77,016.95

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Solution

The fourth proportional to 203,338.88, 305,046.70 and 77,016.95 is: 115,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,338.88 : 305,046.70 = 77,016.95 : x
  2. Step 2: Convert to fraction form
    203,338.88/305,046.70 = 77,016.95/x
  3. Step 3: Cross multiply
    203,338.88x = 305,046.70 × 77,016.95
  4. Step 4: Simplify right side
    203,338.88x = 23,493,766,441.57
  5. Step 5: Solve for x
    x = 23,493,766,441.57/203,338.88
  6. Step 6: Final answer
    x = 115,539.96

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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.