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Finding the Fourth Proportional to 188,169.89, 259,692.89 and 107,609.31

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Solution

The fourth proportional to 188,169.89, 259,692.89 and 107,609.31 is: 148,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,169.89 : 259,692.89 = 107,609.31 : x
  2. Step 2: Convert to fraction form
    188,169.89/259,692.89 = 107,609.31/x
  3. Step 3: Cross multiply
    188,169.89x = 259,692.89 × 107,609.31
  4. Step 4: Simplify right side
    188,169.89x = 27,945,372,166.76
  5. Step 5: Solve for x
    x = 27,945,372,166.76/188,169.89
  6. Step 6: Final answer
    x = 148,511.40

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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.