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Finding the Fourth Proportional to 259,391.54, 388,993.62 and 109,643.42

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Solution

The fourth proportional to 259,391.54, 388,993.62 and 109,643.42 is: 164,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,391.54 : 388,993.62 = 109,643.42 : x
  2. Step 2: Convert to fraction form
    259,391.54/388,993.62 = 109,643.42/x
  3. Step 3: Cross multiply
    259,391.54x = 388,993.62 × 109,643.42
  4. Step 4: Simplify right side
    259,391.54x = 42,650,590,854.98
  5. Step 5: Solve for x
    x = 42,650,590,854.98/259,391.54
  6. Step 6: Final answer
    x = 164,425.53

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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.