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Finding the Fourth Proportional to 259,109.79, 388,678.60 and 81,630.69

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Solution

The fourth proportional to 259,109.79, 388,678.60 and 81,630.69 is: 122,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,109.79 : 388,678.60 = 81,630.69 : x
  2. Step 2: Convert to fraction form
    259,109.79/388,678.60 = 81,630.69/x
  3. Step 3: Cross multiply
    259,109.79x = 388,678.60 × 81,630.69
  4. Step 4: Simplify right side
    259,109.79x = 31,728,100,950.73
  5. Step 5: Solve for x
    x = 31,728,100,950.73/259,109.79
  6. Step 6: Final answer
    x = 122,450.42

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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.