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Finding the Fourth Proportional to 188,100.65, 259,578.36 and 102,059.28

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Solution

The fourth proportional to 188,100.65, 259,578.36 and 102,059.28 is: 140,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,100.65 : 259,578.36 = 102,059.28 : x
  2. Step 2: Convert to fraction form
    188,100.65/259,578.36 = 102,059.28/x
  3. Step 3: Cross multiply
    188,100.65x = 259,578.36 × 102,059.28
  4. Step 4: Simplify right side
    188,100.65x = 26,492,380,525.18
  5. Step 5: Solve for x
    x = 26,492,380,525.18/188,100.65
  6. Step 6: Final answer
    x = 140,841.51

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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.