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Finding the Fourth Proportional to 71,163.86, 106,764.27 and 21,243.96

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Solution

The fourth proportional to 71,163.86, 106,764.27 and 21,243.96 is: 31,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,163.86 : 106,764.27 = 21,243.96 : x
  2. Step 2: Convert to fraction form
    71,163.86/106,764.27 = 21,243.96/x
  3. Step 3: Cross multiply
    71,163.86x = 106,764.27 × 21,243.96
  4. Step 4: Simplify right side
    71,163.86x = 2,268,095,881.31
  5. Step 5: Solve for x
    x = 2,268,095,881.31/71,163.86
  6. Step 6: Final answer
    x = 31,871.46

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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.