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Finding the Fourth Proportional to 203,647.28, 305,514.86 and 61,480.76

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Solution

The fourth proportional to 203,647.28, 305,514.86 and 61,480.76 is: 92,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,647.28 : 305,514.86 = 61,480.76 : x
  2. Step 2: Convert to fraction form
    203,647.28/305,514.86 = 61,480.76/x
  3. Step 3: Cross multiply
    203,647.28x = 305,514.86 × 61,480.76
  4. Step 4: Simplify right side
    203,647.28x = 18,783,283,949.12
  5. Step 5: Solve for x
    x = 18,783,283,949.12/203,647.28
  6. Step 6: Final answer
    x = 92,234.40

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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.