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Finding the Fourth Proportional to 80,178.48, 120,237.48 and 32,768.20

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Solution

The fourth proportional to 80,178.48, 120,237.48 and 32,768.20 is: 49,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,178.48 : 120,237.48 = 32,768.20 : x
  2. Step 2: Convert to fraction form
    80,178.48/120,237.48 = 32,768.20/x
  3. Step 3: Cross multiply
    80,178.48x = 120,237.48 × 32,768.20
  4. Step 4: Simplify right side
    80,178.48x = 3,939,965,792.14
  5. Step 5: Solve for x
    x = 3,939,965,792.14/80,178.48
  6. Step 6: Final answer
    x = 49,139.94

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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.