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Finding the Fourth Proportional to 71,689.17, 107,511.90 and 19,091.82

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Solution

The fourth proportional to 71,689.17, 107,511.90 and 19,091.82 is: 28,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,689.17 : 107,511.90 = 19,091.82 : x
  2. Step 2: Convert to fraction form
    71,689.17/107,511.90 = 19,091.82/x
  3. Step 3: Cross multiply
    71,689.17x = 107,511.90 × 19,091.82
  4. Step 4: Simplify right side
    71,689.17x = 2,052,597,842.66
  5. Step 5: Solve for x
    x = 2,052,597,842.66/71,689.17
  6. Step 6: Final answer
    x = 28,631.91

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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.