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Finding the Fourth Proportional to 188,886.78, 260,668.26 and 102,850.20

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Solution

The fourth proportional to 188,886.78, 260,668.26 and 102,850.20 is: 141,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,886.78 : 260,668.26 = 102,850.20 : x
  2. Step 2: Convert to fraction form
    188,886.78/260,668.26 = 102,850.20/x
  3. Step 3: Cross multiply
    188,886.78x = 260,668.26 × 102,850.20
  4. Step 4: Simplify right side
    188,886.78x = 26,809,782,674.65
  5. Step 5: Solve for x
    x = 26,809,782,674.65/188,886.78
  6. Step 6: Final answer
    x = 141,935.73

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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.