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Finding the Fourth Proportional to 71,143.67, 106,699.10 and 31,679.25

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Solution

The fourth proportional to 71,143.67, 106,699.10 and 31,679.25 is: 47,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.67 : 106,699.10 = 31,679.25 : x
  2. Step 2: Convert to fraction form
    71,143.67/106,699.10 = 31,679.25/x
  3. Step 3: Cross multiply
    71,143.67x = 106,699.10 × 31,679.25
  4. Step 4: Simplify right side
    71,143.67x = 3,380,147,305.28
  5. Step 5: Solve for x
    x = 3,380,147,305.28/71,143.67
  6. Step 6: Final answer
    x = 47,511.57

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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.