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Finding the Fourth Proportional to 203,222.75, 304,876.91 and 76,860.17

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Solution

The fourth proportional to 203,222.75, 304,876.91 and 76,860.17 is: 115,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,222.75 : 304,876.91 = 76,860.17 : x
  2. Step 2: Convert to fraction form
    203,222.75/304,876.91 = 76,860.17/x
  3. Step 3: Cross multiply
    203,222.75x = 304,876.91 × 76,860.17
  4. Step 4: Simplify right side
    203,222.75x = 23,432,890,942.73
  5. Step 5: Solve for x
    x = 23,432,890,942.73/203,222.75
  6. Step 6: Final answer
    x = 115,306.44

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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.