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Finding the Fourth Proportional to 192,466.58, 288,749.12 and 80,109.45

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Solution

The fourth proportional to 192,466.58, 288,749.12 and 80,109.45 is: 120,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,466.58 : 288,749.12 = 80,109.45 : x
  2. Step 2: Convert to fraction form
    192,466.58/288,749.12 = 80,109.45/x
  3. Step 3: Cross multiply
    192,466.58x = 288,749.12 × 80,109.45
  4. Step 4: Simplify right side
    192,466.58x = 23,131,532,790.64
  5. Step 5: Solve for x
    x = 23,131,532,790.64/192,466.58
  6. Step 6: Final answer
    x = 120,184.68

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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.