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Finding the Fourth Proportional to 188,170.20, 259,677.82 and 103,295

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Solution

The fourth proportional to 188,170.20, 259,677.82 and 103,295 is: 142,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,170.20 : 259,677.82 = 103,295 : x
  2. Step 2: Convert to fraction form
    188,170.20/259,677.82 = 103,295/x
  3. Step 3: Cross multiply
    188,170.20x = 259,677.82 × 103,295
  4. Step 4: Simplify right side
    188,170.20x = 26,823,420,416.90
  5. Step 5: Solve for x
    x = 26,823,420,416.90/188,170.20
  6. Step 6: Final answer
    x = 142,548.72

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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.