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Finding the Fourth Proportional to 149,321.58, 206,063.78 and 82,253.58

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Solution

The fourth proportional to 149,321.58, 206,063.78 and 82,253.58 is: 113,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,321.58 : 206,063.78 = 82,253.58 : x
  2. Step 2: Convert to fraction form
    149,321.58/206,063.78 = 82,253.58/x
  3. Step 3: Cross multiply
    149,321.58x = 206,063.78 × 82,253.58
  4. Step 4: Simplify right side
    149,321.58x = 16,949,483,613.33
  5. Step 5: Solve for x
    x = 16,949,483,613.33/149,321.58
  6. Step 6: Final answer
    x = 113,509.94

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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.