Finding the Fourth Proportional to 106,489.68, 159,678.52 and 31,599.44
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Solution
The fourth proportional to 106,489.68, 159,678.52 and 31,599.44 is: 47,382.54
Step by Step Solution
- Step 1: Write the proportion equation
106,489.68 : 159,678.52 = 31,599.44 : x - Step 2: Convert to fraction form
106,489.68/159,678.52 = 31,599.44/x - Step 3: Cross multiply
106,489.68x = 159,678.52 × 31,599.44 - Step 4: Simplify right side
106,489.68x = 5,045,751,812.03 - Step 5: Solve for x
x = 5,045,751,812.03/106,489.68 - Step 6: Final answer
x = 47,382.54
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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.