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Finding the Fourth Proportional to 209,218, 313,896.12 and 84,490.96

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Solution

The fourth proportional to 209,218, 313,896.12 and 84,490.96 is: 126,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,218 : 313,896.12 = 84,490.96 : x
  2. Step 2: Convert to fraction form
    209,218/313,896.12 = 84,490.96/x
  3. Step 3: Cross multiply
    209,218x = 313,896.12 × 84,490.96
  4. Step 4: Simplify right side
    209,218x = 26,521,384,519.08
  5. Step 5: Solve for x
    x = 26,521,384,519.08/209,218
  6. Step 6: Final answer
    x = 126,764.35

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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.