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Finding the Fourth Proportional to 120,475.98, 180,735.12 and 40,506.30

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Solution

The fourth proportional to 120,475.98, 180,735.12 and 40,506.30 is: 60,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,475.98 : 180,735.12 = 40,506.30 : x
  2. Step 2: Convert to fraction form
    120,475.98/180,735.12 = 40,506.30/x
  3. Step 3: Cross multiply
    120,475.98x = 180,735.12 × 40,506.30
  4. Step 4: Simplify right side
    120,475.98x = 7,320,910,991.26
  5. Step 5: Solve for x
    x = 7,320,910,991.26/120,475.98
  6. Step 6: Final answer
    x = 60,766.56

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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.