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Finding the Fourth Proportional to 202,396.50, 279,311.22 and 111,752.64

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Solution

The fourth proportional to 202,396.50, 279,311.22 and 111,752.64 is: 154,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,396.50 : 279,311.22 = 111,752.64 : x
  2. Step 2: Convert to fraction form
    202,396.50/279,311.22 = 111,752.64/x
  3. Step 3: Cross multiply
    202,396.50x = 279,311.22 × 111,752.64
  4. Step 4: Simplify right side
    202,396.50x = 31,213,766,216.62
  5. Step 5: Solve for x
    x = 31,213,766,216.62/202,396.50
  6. Step 6: Final answer
    x = 154,220.88

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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.