Finding the Fourth Proportional to 106,174.38, 159,236.05 and 31,274.29
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Solution
The fourth proportional to 106,174.38, 159,236.05 and 31,274.29 is: 46,903.92
Step by Step Solution
- Step 1: Write the proportion equation
106,174.38 : 159,236.05 = 31,274.29 : x - Step 2: Convert to fraction form
106,174.38/159,236.05 = 31,274.29/x - Step 3: Cross multiply
106,174.38x = 159,236.05 × 31,274.29 - Step 4: Simplify right side
106,174.38x = 4,979,994,406.15 - Step 5: Solve for x
x = 4,979,994,406.15/106,174.38 - Step 6: Final answer
x = 46,903.92
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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.