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Finding the Fourth Proportional to 188,891.78, 260,675.16 and 102,855.20

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Solution

The fourth proportional to 188,891.78, 260,675.16 and 102,855.20 is: 141,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,891.78 : 260,675.16 = 102,855.20 : x
  2. Step 2: Convert to fraction form
    188,891.78/260,675.16 = 102,855.20/x
  3. Step 3: Cross multiply
    188,891.78x = 260,675.16 × 102,855.20
  4. Step 4: Simplify right side
    188,891.78x = 26,811,795,716.83
  5. Step 5: Solve for x
    x = 26,811,795,716.83/188,891.78
  6. Step 6: Final answer
    x = 141,942.63

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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.