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Finding the Fourth Proportional to 188,255.66, 259,790.94 and 102,212.75

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Solution

The fourth proportional to 188,255.66, 259,790.94 and 102,212.75 is: 141,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,255.66 : 259,790.94 = 102,212.75 : x
  2. Step 2: Convert to fraction form
    188,255.66/259,790.94 = 102,212.75/x
  3. Step 3: Cross multiply
    188,255.66x = 259,790.94 × 102,212.75
  4. Step 4: Simplify right side
    188,255.66x = 26,553,946,402.49
  5. Step 5: Solve for x
    x = 26,553,946,402.49/188,255.66
  6. Step 6: Final answer
    x = 141,052.58

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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.