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Finding the Fourth Proportional to 203,901.56, 281,462.62 and 135,893.72

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Solution

The fourth proportional to 203,901.56, 281,462.62 and 135,893.72 is: 187,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,901.56 : 281,462.62 = 135,893.72 : x
  2. Step 2: Convert to fraction form
    203,901.56/281,462.62 = 135,893.72/x
  3. Step 3: Cross multiply
    203,901.56x = 281,462.62 × 135,893.72
  4. Step 4: Simplify right side
    203,901.56x = 38,249,002,729.84
  5. Step 5: Solve for x
    x = 38,249,002,729.84/203,901.56
  6. Step 6: Final answer
    x = 187,585.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.