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Finding the Fourth Proportional to 120,108, 180,550.80 and 111,450.72

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Solution

The fourth proportional to 120,108, 180,550.80 and 111,450.72 is: 167,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,108 : 180,550.80 = 111,450.72 : x
  2. Step 2: Convert to fraction form
    120,108/180,550.80 = 111,450.72/x
  3. Step 3: Cross multiply
    120,108x = 180,550.80 × 111,450.72
  4. Step 4: Simplify right side
    120,108x = 20,122,516,656.58
  5. Step 5: Solve for x
    x = 20,122,516,656.58/120,108
  6. Step 6: Final answer
    x = 167,536.86

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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.