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Finding the Fourth Proportional to 209,311.66, 313,978.35 and 69,081.22

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Solution

The fourth proportional to 209,311.66, 313,978.35 and 69,081.22 is: 103,625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,311.66 : 313,978.35 = 69,081.22 : x
  2. Step 2: Convert to fraction form
    209,311.66/313,978.35 = 69,081.22/x
  3. Step 3: Cross multiply
    209,311.66x = 313,978.35 × 69,081.22
  4. Step 4: Simplify right side
    209,311.66x = 21,690,007,471.59
  5. Step 5: Solve for x
    x = 21,690,007,471.59/209,311.66
  6. Step 6: Final answer
    x = 103,625.41

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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.