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Finding the Fourth Proportional to 188,396.88, 259,986.90 and 107,824

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Solution

The fourth proportional to 188,396.88, 259,986.90 and 107,824 is: 148,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,396.88 : 259,986.90 = 107,824 : x
  2. Step 2: Convert to fraction form
    188,396.88/259,986.90 = 107,824/x
  3. Step 3: Cross multiply
    188,396.88x = 259,986.90 × 107,824
  4. Step 4: Simplify right side
    188,396.88x = 28,032,827,505.60
  5. Step 5: Solve for x
    x = 28,032,827,505.60/188,396.88
  6. Step 6: Final answer
    x = 148,796.67

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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.