Finding the Fourth Proportional to 106,427.62, 159,640.67 and 31,548.08
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Solution
The fourth proportional to 106,427.62, 159,640.67 and 31,548.08 is: 47,321.90
Step by Step Solution
- Step 1: Write the proportion equation
106,427.62 : 159,640.67 = 31,548.08 : x - Step 2: Convert to fraction form
106,427.62/159,640.67 = 31,548.08/x - Step 3: Cross multiply
106,427.62x = 159,640.67 × 31,548.08 - Step 4: Simplify right side
106,427.62x = 5,036,357,106.39 - Step 5: Solve for x
x = 5,036,357,106.39/106,427.62 - Step 6: Final answer
x = 47,321.90
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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.