Home / 149,286-206,015.64-82,222.32

Finding the Fourth Proportional to 149,286, 206,015.64 and 82,222.32

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Solution

The fourth proportional to 149,286, 206,015.64 and 82,222.32 is: 113,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,286 : 206,015.64 = 82,222.32 : x
  2. Step 2: Convert to fraction form
    149,286/206,015.64 = 82,222.32/x
  3. Step 3: Cross multiply
    149,286x = 206,015.64 × 82,222.32
  4. Step 4: Simplify right side
    149,286x = 16,939,083,877.08
  5. Step 5: Solve for x
    x = 16,939,083,877.08/149,286
  6. Step 6: Final answer
    x = 113,467.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.