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Finding the Fourth Proportional to 203,826.86, 305,776.11 and 77,478.15

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Solution

The fourth proportional to 203,826.86, 305,776.11 and 77,478.15 is: 116,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,826.86 : 305,776.11 = 77,478.15 : x
  2. Step 2: Convert to fraction form
    203,826.86/305,776.11 = 77,478.15/x
  3. Step 3: Cross multiply
    203,826.86x = 305,776.11 × 77,478.15
  4. Step 4: Simplify right side
    203,826.86x = 23,690,968,754.20
  5. Step 5: Solve for x
    x = 23,690,968,754.20/203,826.86
  6. Step 6: Final answer
    x = 116,230.85

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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.