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Finding the Fourth Proportional to 170,589, 255,883.50 and 45,930

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Solution

The fourth proportional to 170,589, 255,883.50 and 45,930 is: 68,895

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,589 : 255,883.50 = 45,930 : x
  2. Step 2: Convert to fraction form
    170,589/255,883.50 = 45,930/x
  3. Step 3: Cross multiply
    170,589x = 255,883.50 × 45,930
  4. Step 4: Simplify right side
    170,589x = 11,752,729,155
  5. Step 5: Solve for x
    x = 11,752,729,155/170,589
  6. Step 6: Final answer
    x = 68,895

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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.