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Finding the Fourth Proportional to 203,636.58, 305,573.88 and 85,298

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Solution

The fourth proportional to 203,636.58, 305,573.88 and 85,298 is: 127,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,636.58 : 305,573.88 = 85,298 : x
  2. Step 2: Convert to fraction form
    203,636.58/305,573.88 = 85,298/x
  3. Step 3: Cross multiply
    203,636.58x = 305,573.88 × 85,298
  4. Step 4: Simplify right side
    203,636.58x = 26,064,840,816.24
  5. Step 5: Solve for x
    x = 26,064,840,816.24/203,636.58
  6. Step 6: Final answer
    x = 127,996.85

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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.