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Finding the Fourth Proportional to 57,422.64, 86,133.96 and 33,978

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Solution

The fourth proportional to 57,422.64, 86,133.96 and 33,978 is: 50,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,422.64 : 86,133.96 = 33,978 : x
  2. Step 2: Convert to fraction form
    57,422.64/86,133.96 = 33,978/x
  3. Step 3: Cross multiply
    57,422.64x = 86,133.96 × 33,978
  4. Step 4: Simplify right side
    57,422.64x = 2,926,659,692.88
  5. Step 5: Solve for x
    x = 2,926,659,692.88/57,422.64
  6. Step 6: Final answer
    x = 50,967

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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.