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Finding the Fourth Proportional to 259,760.88, 389,346.24 and 109,907.64

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Solution

The fourth proportional to 259,760.88, 389,346.24 and 109,907.64 is: 164,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,760.88 : 389,346.24 = 109,907.64 : x
  2. Step 2: Convert to fraction form
    259,760.88/389,346.24 = 109,907.64/x
  3. Step 3: Cross multiply
    259,760.88x = 389,346.24 × 109,907.64
  4. Step 4: Simplify right side
    259,760.88x = 42,792,126,381.27
  5. Step 5: Solve for x
    x = 42,792,126,381.27/259,760.88
  6. Step 6: Final answer
    x = 164,736.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.