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Finding the Fourth Proportional to 203,908.88, 305,928.32 and 85,548.44

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Solution

The fourth proportional to 203,908.88, 305,928.32 and 85,548.44 is: 128,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908.88 : 305,928.32 = 85,548.44 : x
  2. Step 2: Convert to fraction form
    203,908.88/305,928.32 = 85,548.44/x
  3. Step 3: Cross multiply
    203,908.88x = 305,928.32 × 85,548.44
  4. Step 4: Simplify right side
    203,908.88x = 26,171,688,570.44
  5. Step 5: Solve for x
    x = 26,171,688,570.44/203,908.88
  6. Step 6: Final answer
    x = 128,349.92

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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.