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Finding the Fourth Proportional to 68,536.30, 102,791.84 and 31,087.34

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Solution

The fourth proportional to 68,536.30, 102,791.84 and 31,087.34 is: 46,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,536.30 : 102,791.84 = 31,087.34 : x
  2. Step 2: Convert to fraction form
    68,536.30/102,791.84 = 31,087.34/x
  3. Step 3: Cross multiply
    68,536.30x = 102,791.84 × 31,087.34
  4. Step 4: Simplify right side
    68,536.30x = 3,195,524,879.31
  5. Step 5: Solve for x
    x = 3,195,524,879.31/68,536.30
  6. Step 6: Final answer
    x = 46,625.29

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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.