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Finding the Fourth Proportional to 149,215.70, 205,917.09 and 82,147.70

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Solution

The fourth proportional to 149,215.70, 205,917.09 and 82,147.70 is: 113,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,215.70 : 205,917.09 = 82,147.70 : x
  2. Step 2: Convert to fraction form
    149,215.70/205,917.09 = 82,147.70/x
  3. Step 3: Cross multiply
    149,215.70x = 205,917.09 × 82,147.70
  4. Step 4: Simplify right side
    149,215.70x = 16,915,615,334.19
  5. Step 5: Solve for x
    x = 16,915,615,334.19/149,215.70
  6. Step 6: Final answer
    x = 113,363.51

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1.5x scale

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.