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Finding the Fourth Proportional to 203,782.92, 305,576.01 and 85,422.48

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Solution

The fourth proportional to 203,782.92, 305,576.01 and 85,422.48 is: 128,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,782.92 : 305,576.01 = 85,422.48 : x
  2. Step 2: Convert to fraction form
    203,782.92/305,576.01 = 85,422.48/x
  3. Step 3: Cross multiply
    203,782.92x = 305,576.01 × 85,422.48
  4. Step 4: Simplify right side
    203,782.92x = 26,103,060,602.70
  5. Step 5: Solve for x
    x = 26,103,060,602.70/203,782.92
  6. Step 6: Final answer
    x = 128,092.48

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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.