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Finding the Fourth Proportional to 120,786.53, 166,700.78 and 73,040.22

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Solution

The fourth proportional to 120,786.53, 166,700.78 and 73,040.22 is: 100,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786.53 : 166,700.78 = 73,040.22 : x
  2. Step 2: Convert to fraction form
    120,786.53/166,700.78 = 73,040.22/x
  3. Step 3: Cross multiply
    120,786.53x = 166,700.78 × 73,040.22
  4. Step 4: Simplify right side
    120,786.53x = 12,175,861,645.37
  5. Step 5: Solve for x
    x = 12,175,861,645.37/120,786.53
  6. Step 6: Final answer
    x = 100,804.80

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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.