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Finding the Fourth Proportional to 208,974.32, 313,469.40 and 68,744.24

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Solution

The fourth proportional to 208,974.32, 313,469.40 and 68,744.24 is: 103,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,974.32 : 313,469.40 = 68,744.24 : x
  2. Step 2: Convert to fraction form
    208,974.32/313,469.40 = 68,744.24/x
  3. Step 3: Cross multiply
    208,974.32x = 313,469.40 × 68,744.24
  4. Step 4: Simplify right side
    208,974.32x = 21,549,215,666.26
  5. Step 5: Solve for x
    x = 21,549,215,666.26/208,974.32
  6. Step 6: Final answer
    x = 103,118.97

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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.