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Finding the Fourth Proportional to 120,633.98, 180,952.14 and 45,734

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Solution

The fourth proportional to 120,633.98, 180,952.14 and 45,734 is: 68,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,633.98 : 180,952.14 = 45,734 : x
  2. Step 2: Convert to fraction form
    120,633.98/180,952.14 = 45,734/x
  3. Step 3: Cross multiply
    120,633.98x = 180,952.14 × 45,734
  4. Step 4: Simplify right side
    120,633.98x = 8,275,665,170.76
  5. Step 5: Solve for x
    x = 8,275,665,170.76/120,633.98
  6. Step 6: Final answer
    x = 68,601.44

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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.