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Finding the Fourth Proportional to 57,611.60, 86,415.68 and 31,481.84

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Solution

The fourth proportional to 57,611.60, 86,415.68 and 31,481.84 is: 47,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,611.60 : 86,415.68 = 31,481.84 : x
  2. Step 2: Convert to fraction form
    57,611.60/86,415.68 = 31,481.84/x
  3. Step 3: Cross multiply
    57,611.60x = 86,415.68 × 31,481.84
  4. Step 4: Simplify right side
    57,611.60x = 2,720,524,611.25
  5. Step 5: Solve for x
    x = 2,720,524,611.25/57,611.60
  6. Step 6: Final answer
    x = 47,221.82

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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.