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Finding the Fourth Proportional to 120,745.76, 166,629.80 and 75,450.04

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Solution

The fourth proportional to 120,745.76, 166,629.80 and 75,450.04 is: 104,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,745.76 : 166,629.80 = 75,450.04 : x
  2. Step 2: Convert to fraction form
    120,745.76/166,629.80 = 75,450.04/x
  3. Step 3: Cross multiply
    120,745.76x = 166,629.80 × 75,450.04
  4. Step 4: Simplify right side
    120,745.76x = 12,572,224,847.24
  5. Step 5: Solve for x
    x = 12,572,224,847.24/120,745.76
  6. Step 6: Final answer
    x = 104,121.46

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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.