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Finding the Fourth Proportional to 203,698.80, 305,778.60 and 120,639.60

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Solution

The fourth proportional to 203,698.80, 305,778.60 and 120,639.60 is: 181,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,698.80 : 305,778.60 = 120,639.60 : x
  2. Step 2: Convert to fraction form
    203,698.80/305,778.60 = 120,639.60/x
  3. Step 3: Cross multiply
    203,698.80x = 305,778.60 × 120,639.60
  4. Step 4: Simplify right side
    203,698.80x = 36,889,007,992.56
  5. Step 5: Solve for x
    x = 36,889,007,992.56/203,698.80
  6. Step 6: Final answer
    x = 181,095.85

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1.5x scale

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.