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Finding the Fourth Proportional to 71,692.57, 107,568.27 and 31,690.42

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Solution

The fourth proportional to 71,692.57, 107,568.27 and 31,690.42 is: 47,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692.57 : 107,568.27 = 31,690.42 : x
  2. Step 2: Convert to fraction form
    71,692.57/107,568.27 = 31,690.42/x
  3. Step 3: Cross multiply
    71,692.57x = 107,568.27 × 31,690.42
  4. Step 4: Simplify right side
    71,692.57x = 3,408,883,654.97
  5. Step 5: Solve for x
    x = 3,408,883,654.97/71,692.57
  6. Step 6: Final answer
    x = 47,548.63

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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.