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Finding the Fourth Proportional to 188,109.87, 259,599.11 and 103,229.97

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Solution

The fourth proportional to 188,109.87, 259,599.11 and 103,229.97 is: 142,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,109.87 : 259,599.11 = 103,229.97 : x
  2. Step 2: Convert to fraction form
    188,109.87/259,599.11 = 103,229.97/x
  3. Step 3: Cross multiply
    188,109.87x = 259,599.11 × 103,229.97
  4. Step 4: Simplify right side
    188,109.87x = 26,798,407,821.18
  5. Step 5: Solve for x
    x = 26,798,407,821.18/188,109.87
  6. Step 6: Final answer
    x = 142,461.47

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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.