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Finding the Fourth Proportional to 119,647.36, 165,105.84 and 71,872.48

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Solution

The fourth proportional to 119,647.36, 165,105.84 and 71,872.48 is: 99,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,647.36 : 165,105.84 = 71,872.48 : x
  2. Step 2: Convert to fraction form
    119,647.36/165,105.84 = 71,872.48/x
  3. Step 3: Cross multiply
    119,647.36x = 165,105.84 × 71,872.48
  4. Step 4: Simplify right side
    119,647.36x = 11,866,566,183.28
  5. Step 5: Solve for x
    x = 11,866,566,183.28/119,647.36
  6. Step 6: Final answer
    x = 99,179.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.