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Finding the Fourth Proportional to 120,529.84, 180,777.31 and 84,396.67

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Solution

The fourth proportional to 120,529.84, 180,777.31 and 84,396.67 is: 126,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,529.84 : 180,777.31 = 84,396.67 : x
  2. Step 2: Convert to fraction form
    120,529.84/180,777.31 = 84,396.67/x
  3. Step 3: Cross multiply
    120,529.84x = 180,777.31 × 84,396.67
  4. Step 4: Simplify right side
    120,529.84x = 15,257,002,975.56
  5. Step 5: Solve for x
    x = 15,257,002,975.56/120,529.84
  6. Step 6: Final answer
    x = 126,582.79

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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.