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Finding the Fourth Proportional to 146,469, 219,625.36 and 69,450.96

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Solution

The fourth proportional to 146,469, 219,625.36 and 69,450.96 is: 104,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,469 : 219,625.36 = 69,450.96 : x
  2. Step 2: Convert to fraction form
    146,469/219,625.36 = 69,450.96/x
  3. Step 3: Cross multiply
    146,469x = 219,625.36 × 69,450.96
  4. Step 4: Simplify right side
    146,469x = 15,253,192,092.35
  5. Step 5: Solve for x
    x = 15,253,192,092.35/146,469
  6. Step 6: Final answer
    x = 104,139.39

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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.