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Finding the Fourth Proportional to 71,818.50, 107,739.42 and 21,222.66

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Solution

The fourth proportional to 71,818.50, 107,739.42 and 21,222.66 is: 31,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,818.50 : 107,739.42 = 21,222.66 : x
  2. Step 2: Convert to fraction form
    71,818.50/107,739.42 = 21,222.66/x
  3. Step 3: Cross multiply
    71,818.50x = 107,739.42 × 21,222.66
  4. Step 4: Simplify right side
    71,818.50x = 2,286,517,079.26
  5. Step 5: Solve for x
    x = 2,286,517,079.26/71,818.50
  6. Step 6: Final answer
    x = 31,837.44

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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.