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Finding the Fourth Proportional to 203,586.98, 305,331.24 and 85,346.82

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Solution

The fourth proportional to 203,586.98, 305,331.24 and 85,346.82 is: 127,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,586.98 : 305,331.24 = 85,346.82 : x
  2. Step 2: Convert to fraction form
    203,586.98/305,331.24 = 85,346.82/x
  3. Step 3: Cross multiply
    203,586.98x = 305,331.24 × 85,346.82
  4. Step 4: Simplify right side
    203,586.98x = 26,059,050,380.66
  5. Step 5: Solve for x
    x = 26,059,050,380.66/203,586.98
  6. Step 6: Final answer
    x = 127,999.60

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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.