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Finding the Fourth Proportional to 209,219, 313,897.62 and 84,491.96

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Solution

The fourth proportional to 209,219, 313,897.62 and 84,491.96 is: 126,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,219 : 313,897.62 = 84,491.96 : x
  2. Step 2: Convert to fraction form
    209,219/313,897.62 = 84,491.96/x
  3. Step 3: Cross multiply
    209,219x = 313,897.62 × 84,491.96
  4. Step 4: Simplify right side
    209,219x = 26,521,825,153.14
  5. Step 5: Solve for x
    x = 26,521,825,153.14/209,219
  6. Step 6: Final answer
    x = 126,765.85

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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.