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Finding the Fourth Proportional to 68,141.68, 102,177.96 and 31,174

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Solution

The fourth proportional to 68,141.68, 102,177.96 and 31,174 is: 46,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,141.68 : 102,177.96 = 31,174 : x
  2. Step 2: Convert to fraction form
    68,141.68/102,177.96 = 31,174/x
  3. Step 3: Cross multiply
    68,141.68x = 102,177.96 × 31,174
  4. Step 4: Simplify right side
    68,141.68x = 3,185,295,725.04
  5. Step 5: Solve for x
    x = 3,185,295,725.04/68,141.68
  6. Step 6: Final answer
    x = 46,745.19

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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.