Finding the Fourth Proportional to 106,793.49, 160,184.74 and 31,914.26
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Solution
The fourth proportional to 106,793.49, 160,184.74 and 31,914.26 is: 47,869.75
Step by Step Solution
- Step 1: Write the proportion equation
106,793.49 : 160,184.74 = 31,914.26 : x - Step 2: Convert to fraction form
106,793.49/160,184.74 = 31,914.26/x - Step 3: Cross multiply
106,793.49x = 160,184.74 × 31,914.26 - Step 4: Simplify right side
106,793.49x = 5,112,177,440.39 - Step 5: Solve for x
x = 5,112,177,440.39/106,793.49 - Step 6: Final answer
x = 47,869.75
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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.