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Finding the Fourth Proportional to 188,694.88, 260,290.80 and 117,916

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Solution

The fourth proportional to 188,694.88, 260,290.80 and 117,916 is: 162,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,694.88 : 260,290.80 = 117,916 : x
  2. Step 2: Convert to fraction form
    188,694.88/260,290.80 = 117,916/x
  3. Step 3: Cross multiply
    188,694.88x = 260,290.80 × 117,916
  4. Step 4: Simplify right side
    188,694.88x = 30,692,449,972.80
  5. Step 5: Solve for x
    x = 30,692,449,972.80/188,694.88
  6. Step 6: Final answer
    x = 162,656.51

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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.