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Finding the Fourth Proportional to 203,757.12, 305,754.64 and 85,419.36

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Solution

The fourth proportional to 203,757.12, 305,754.64 and 85,419.36 is: 128,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,757.12 : 305,754.64 = 85,419.36 : x
  2. Step 2: Convert to fraction form
    203,757.12/305,754.64 = 85,419.36/x
  3. Step 3: Cross multiply
    203,757.12x = 305,754.64 × 85,419.36
  4. Step 4: Simplify right side
    203,757.12x = 26,117,365,665.83
  5. Step 5: Solve for x
    x = 26,117,365,665.83/203,757.12
  6. Step 6: Final answer
    x = 128,178.91

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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.