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Finding the Fourth Proportional to 225,989.36, 338,983.70 and 92,775.78

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Solution

The fourth proportional to 225,989.36, 338,983.70 and 92,775.78 is: 139,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,989.36 : 338,983.70 = 92,775.78 : x
  2. Step 2: Convert to fraction form
    225,989.36/338,983.70 = 92,775.78/x
  3. Step 3: Cross multiply
    225,989.36x = 338,983.70 × 92,775.78
  4. Step 4: Simplify right side
    225,989.36x = 31,449,475,479.87
  5. Step 5: Solve for x
    x = 31,449,475,479.87/225,989.36
  6. Step 6: Final answer
    x = 139,163.52

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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.