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Finding the Fourth Proportional to 203,471.59, 305,144.98 and 140,695.09

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Solution

The fourth proportional to 203,471.59, 305,144.98 and 140,695.09 is: 210,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,471.59 : 305,144.98 = 140,695.09 : x
  2. Step 2: Convert to fraction form
    203,471.59/305,144.98 = 140,695.09/x
  3. Step 3: Cross multiply
    203,471.59x = 305,144.98 × 140,695.09
  4. Step 4: Simplify right side
    203,471.59x = 42,932,400,424.15
  5. Step 5: Solve for x
    x = 42,932,400,424.15/203,471.59
  6. Step 6: Final answer
    x = 210,999.48

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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.