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Finding the Fourth Proportional to 149,323, 206,065.74 and 82,255

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Solution

The fourth proportional to 149,323, 206,065.74 and 82,255 is: 113,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,323 : 206,065.74 = 82,255 : x
  2. Step 2: Convert to fraction form
    149,323/206,065.74 = 82,255/x
  3. Step 3: Cross multiply
    149,323x = 206,065.74 × 82,255
  4. Step 4: Simplify right side
    149,323x = 16,949,937,443.70
  5. Step 5: Solve for x
    x = 16,949,937,443.70/149,323
  6. Step 6: Final answer
    x = 113,511.90

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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.