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Finding the Fourth Proportional to 109,408.80, 150,837.92 and 82,068.67

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Solution

The fourth proportional to 109,408.80, 150,837.92 and 82,068.67 is: 113,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,408.80 : 150,837.92 = 82,068.67 : x
  2. Step 2: Convert to fraction form
    109,408.80/150,837.92 = 82,068.67/x
  3. Step 3: Cross multiply
    109,408.80x = 150,837.92 × 82,068.67
  4. Step 4: Simplify right side
    109,408.80x = 12,379,066,692.53
  5. Step 5: Solve for x
    x = 12,379,066,692.53/109,408.80
  6. Step 6: Final answer
    x = 113,145.07

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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.