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Finding the Fourth Proportional to 203,583.78, 305,326.46 and 85,343.63

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Solution

The fourth proportional to 203,583.78, 305,326.46 and 85,343.63 is: 127,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,583.78 : 305,326.46 = 85,343.63 : x
  2. Step 2: Convert to fraction form
    203,583.78/305,326.46 = 85,343.63/x
  3. Step 3: Cross multiply
    203,583.78x = 305,326.46 × 85,343.63
  4. Step 4: Simplify right side
    203,583.78x = 26,057,667,118.18
  5. Step 5: Solve for x
    x = 26,057,667,118.18/203,583.78
  6. Step 6: Final answer
    x = 127,994.81

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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.