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Finding the Fourth Proportional to 149,187.12, 205,878.12 and 82,119.12

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Solution

The fourth proportional to 149,187.12, 205,878.12 and 82,119.12 is: 113,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,187.12 : 205,878.12 = 82,119.12 : x
  2. Step 2: Convert to fraction form
    149,187.12/205,878.12 = 82,119.12/x
  3. Step 3: Cross multiply
    149,187.12x = 205,878.12 × 82,119.12
  4. Step 4: Simplify right side
    149,187.12x = 16,906,530,041.65
  5. Step 5: Solve for x
    x = 16,906,530,041.65/149,187.12
  6. Step 6: Final answer
    x = 113,324.33

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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.