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Finding the Fourth Proportional to 120,692.80, 180,966.48 and 54,120.88

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Solution

The fourth proportional to 120,692.80, 180,966.48 and 54,120.88 is: 81,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,692.80 : 180,966.48 = 54,120.88 : x
  2. Step 2: Convert to fraction form
    120,692.80/180,966.48 = 54,120.88/x
  3. Step 3: Cross multiply
    120,692.80x = 180,966.48 × 54,120.88
  4. Step 4: Simplify right side
    120,692.80x = 9,794,065,148.10
  5. Step 5: Solve for x
    x = 9,794,065,148.10/120,692.80
  6. Step 6: Final answer
    x = 81,148.71

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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.