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Finding the Fourth Proportional to 202,269, 279,131 and 111,624.96

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Solution

The fourth proportional to 202,269, 279,131 and 111,624.96 is: 154,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,269 : 279,131 = 111,624.96 : x
  2. Step 2: Convert to fraction form
    202,269/279,131 = 111,624.96/x
  3. Step 3: Cross multiply
    202,269x = 279,131 × 111,624.96
  4. Step 4: Simplify right side
    202,269x = 31,157,986,709.76
  5. Step 5: Solve for x
    x = 31,157,986,709.76/202,269
  6. Step 6: Final answer
    x = 154,042.32

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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.