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Finding the Fourth Proportional to 281,369.72, 422,059.08 and 91,829.36

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Solution

The fourth proportional to 281,369.72, 422,059.08 and 91,829.36 is: 137,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,369.72 : 422,059.08 = 91,829.36 : x
  2. Step 2: Convert to fraction form
    281,369.72/422,059.08 = 91,829.36/x
  3. Step 3: Cross multiply
    281,369.72x = 422,059.08 × 91,829.36
  4. Step 4: Simplify right side
    281,369.72x = 38,757,415,198.59
  5. Step 5: Solve for x
    x = 38,757,415,198.59/281,369.72
  6. Step 6: Final answer
    x = 137,745.51

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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.