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Finding the Fourth Proportional to 68,153.68, 102,195.96 and 31,186

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Solution

The fourth proportional to 68,153.68, 102,195.96 and 31,186 is: 46,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,153.68 : 102,195.96 = 31,186 : x
  2. Step 2: Convert to fraction form
    68,153.68/102,195.96 = 31,186/x
  3. Step 3: Cross multiply
    68,153.68x = 102,195.96 × 31,186
  4. Step 4: Simplify right side
    68,153.68x = 3,187,083,208.56
  5. Step 5: Solve for x
    x = 3,187,083,208.56/68,153.68
  6. Step 6: Final answer
    x = 46,763.19

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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.