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Finding the Fourth Proportional to 203,734.50, 305,324.88 and 77,306.78

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Solution

The fourth proportional to 203,734.50, 305,324.88 and 77,306.78 is: 115,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,734.50 : 305,324.88 = 77,306.78 : x
  2. Step 2: Convert to fraction form
    203,734.50/305,324.88 = 77,306.78/x
  3. Step 3: Cross multiply
    203,734.50x = 305,324.88 × 77,306.78
  4. Step 4: Simplify right side
    203,734.50x = 23,603,681,800.06
  5. Step 5: Solve for x
    x = 23,603,681,800.06/203,734.50
  6. Step 6: Final answer
    x = 115,855.10

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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.