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Finding the Fourth Proportional to 43,422, 65,087.52 and 20,063.76

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Solution

The fourth proportional to 43,422, 65,087.52 and 20,063.76 is: 30,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,422 : 65,087.52 = 20,063.76 : x
  2. Step 2: Convert to fraction form
    43,422/65,087.52 = 20,063.76/x
  3. Step 3: Cross multiply
    43,422x = 65,087.52 × 20,063.76
  4. Step 4: Simplify right side
    43,422x = 1,305,900,380.28
  5. Step 5: Solve for x
    x = 1,305,900,380.28/43,422
  6. Step 6: Final answer
    x = 30,074.63

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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.