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Finding the Fourth Proportional to 259,016.18, 388,576.81 and 81,481.90

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Solution

The fourth proportional to 259,016.18, 388,576.81 and 81,481.90 is: 122,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,016.18 : 388,576.81 = 81,481.90 : x
  2. Step 2: Convert to fraction form
    259,016.18/388,576.81 = 81,481.90/x
  3. Step 3: Cross multiply
    259,016.18x = 388,576.81 × 81,481.90
  4. Step 4: Simplify right side
    259,016.18x = 31,661,974,831.86
  5. Step 5: Solve for x
    x = 31,661,974,831.86/259,016.18
  6. Step 6: Final answer
    x = 122,239.37

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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.