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Finding the Fourth Proportional to 68,167.52, 102,251.28 and 31,231.52

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Solution

The fourth proportional to 68,167.52, 102,251.28 and 31,231.52 is: 46,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,167.52 : 102,251.28 = 31,231.52 : x
  2. Step 2: Convert to fraction form
    68,167.52/102,251.28 = 31,231.52/x
  3. Step 3: Cross multiply
    68,167.52x = 102,251.28 × 31,231.52
  4. Step 4: Simplify right side
    68,167.52x = 3,193,462,896.35
  5. Step 5: Solve for x
    x = 3,193,462,896.35/68,167.52
  6. Step 6: Final answer
    x = 46,847.28

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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.