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Finding the Fourth Proportional to 203,260, 280,498.80 and 113,836

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Solution

The fourth proportional to 203,260, 280,498.80 and 113,836 is: 157,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,260 : 280,498.80 = 113,836 : x
  2. Step 2: Convert to fraction form
    203,260/280,498.80 = 113,836/x
  3. Step 3: Cross multiply
    203,260x = 280,498.80 × 113,836
  4. Step 4: Simplify right side
    203,260x = 31,930,861,396.80
  5. Step 5: Solve for x
    x = 31,930,861,396.80/203,260
  6. Step 6: Final answer
    x = 157,093.68

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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.