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Finding the Fourth Proportional to 203,942.10, 305,913.15 and 85,844.10

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Solution

The fourth proportional to 203,942.10, 305,913.15 and 85,844.10 is: 128,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,942.10 : 305,913.15 = 85,844.10 : x
  2. Step 2: Convert to fraction form
    203,942.10/305,913.15 = 85,844.10/x
  3. Step 3: Cross multiply
    203,942.10x = 305,913.15 × 85,844.10
  4. Step 4: Simplify right side
    203,942.10x = 26,260,839,039.92
  5. Step 5: Solve for x
    x = 26,260,839,039.92/203,942.10
  6. Step 6: Final answer
    x = 128,766.15

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Similar ratio
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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.