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Finding the Fourth Proportional to 149,322, 206,064.36 and 82,254

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Solution

The fourth proportional to 149,322, 206,064.36 and 82,254 is: 113,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,322 : 206,064.36 = 82,254 : x
  2. Step 2: Convert to fraction form
    149,322/206,064.36 = 82,254/x
  3. Step 3: Cross multiply
    149,322x = 206,064.36 × 82,254
  4. Step 4: Simplify right side
    149,322x = 16,949,617,867.44
  5. Step 5: Solve for x
    x = 16,949,617,867.44/149,322
  6. Step 6: Final answer
    x = 113,510.52

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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.