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Finding the Fourth Proportional to 132,385.21, 182,692.82 and 71,956

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Solution

The fourth proportional to 132,385.21, 182,692.82 and 71,956 is: 99,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,385.21 : 182,692.82 = 71,956 : x
  2. Step 2: Convert to fraction form
    132,385.21/182,692.82 = 71,956/x
  3. Step 3: Cross multiply
    132,385.21x = 182,692.82 × 71,956
  4. Step 4: Simplify right side
    132,385.21x = 13,145,844,555.92
  5. Step 5: Solve for x
    x = 13,145,844,555.92/132,385.21
  6. Step 6: Final answer
    x = 99,299.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.