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Finding the Fourth Proportional to 71,428.50, 107,163.66 and 31,976.82

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Solution

The fourth proportional to 71,428.50, 107,163.66 and 31,976.82 is: 47,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428.50 : 107,163.66 = 31,976.82 : x
  2. Step 2: Convert to fraction form
    71,428.50/107,163.66 = 31,976.82/x
  3. Step 3: Cross multiply
    71,428.50x = 107,163.66 × 31,976.82
  4. Step 4: Simplify right side
    71,428.50x = 3,426,753,066.36
  5. Step 5: Solve for x
    x = 3,426,753,066.36/71,428.50
  6. Step 6: Final answer
    x = 47,974.59

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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.