Finding the Fourth Proportional to 106,212.75, 159,340.19 and 31,334.19
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Solution
The fourth proportional to 106,212.75, 159,340.19 and 31,334.19 is: 47,007.50
Step by Step Solution
- Step 1: Write the proportion equation
106,212.75 : 159,340.19 = 31,334.19 : x - Step 2: Convert to fraction form
106,212.75/159,340.19 = 31,334.19/x - Step 3: Cross multiply
106,212.75x = 159,340.19 × 31,334.19 - Step 4: Simplify right side
106,212.75x = 4,992,795,631.43 - Step 5: Solve for x
x = 4,992,795,631.43/106,212.75 - Step 6: Final answer
x = 47,007.50
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.