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Finding the Fourth Proportional to 71,820.72, 107,736.84 and 19,229.76

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Solution

The fourth proportional to 71,820.72, 107,736.84 and 19,229.76 is: 28,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,820.72 : 107,736.84 = 19,229.76 : x
  2. Step 2: Convert to fraction form
    71,820.72/107,736.84 = 19,229.76/x
  3. Step 3: Cross multiply
    71,820.72x = 107,736.84 × 19,229.76
  4. Step 4: Simplify right side
    71,820.72x = 2,071,753,576.36
  5. Step 5: Solve for x
    x = 2,071,753,576.36/71,820.72
  6. Step 6: Final answer
    x = 28,846.18

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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.