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Finding the Fourth Proportional to 209,383.80, 314,065.30 and 67,236.03

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Solution

The fourth proportional to 209,383.80, 314,065.30 and 67,236.03 is: 100,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,383.80 : 314,065.30 = 67,236.03 : x
  2. Step 2: Convert to fraction form
    209,383.80/314,065.30 = 67,236.03/x
  3. Step 3: Cross multiply
    209,383.80x = 314,065.30 × 67,236.03
  4. Step 4: Simplify right side
    209,383.80x = 21,116,503,932.76
  5. Step 5: Solve for x
    x = 21,116,503,932.76/209,383.80
  6. Step 6: Final answer
    x = 100,850.71

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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.