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Finding the Fourth Proportional to 71,741.23, 107,608.20 and 21,820.22

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Solution

The fourth proportional to 71,741.23, 107,608.20 and 21,820.22 is: 32,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,741.23 : 107,608.20 = 21,820.22 : x
  2. Step 2: Convert to fraction form
    71,741.23/107,608.20 = 21,820.22/x
  3. Step 3: Cross multiply
    71,741.23x = 107,608.20 × 21,820.22
  4. Step 4: Simplify right side
    71,741.23x = 2,348,034,381.47
  5. Step 5: Solve for x
    x = 2,348,034,381.47/71,741.23
  6. Step 6: Final answer
    x = 32,729.22

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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.