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Finding the Fourth Proportional to 71,366.30, 107,049.45 and 21,454.10

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Solution

The fourth proportional to 71,366.30, 107,049.45 and 21,454.10 is: 32,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,366.30 : 107,049.45 = 21,454.10 : x
  2. Step 2: Convert to fraction form
    71,366.30/107,049.45 = 21,454.10/x
  3. Step 3: Cross multiply
    71,366.30x = 107,049.45 × 21,454.10
  4. Step 4: Simplify right side
    71,366.30x = 2,296,649,605.25
  5. Step 5: Solve for x
    x = 2,296,649,605.25/71,366.30
  6. Step 6: Final answer
    x = 32,181.15

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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.