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Finding the Fourth Proportional to 80,196.48, 120,119.76 and 38,556

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Solution

The fourth proportional to 80,196.48, 120,119.76 and 38,556 is: 57,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,196.48 : 120,119.76 = 38,556 : x
  2. Step 2: Convert to fraction form
    80,196.48/120,119.76 = 38,556/x
  3. Step 3: Cross multiply
    80,196.48x = 120,119.76 × 38,556
  4. Step 4: Simplify right side
    80,196.48x = 4,631,337,466.56
  5. Step 5: Solve for x
    x = 4,631,337,466.56/80,196.48
  6. Step 6: Final answer
    x = 57,749.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.