Finding the Fourth Proportional to 106,538.26, 159,765.85 and 39,942.09
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Solution
The fourth proportional to 106,538.26, 159,765.85 and 39,942.09 is: 59,897.56
Step by Step Solution
- Step 1: Write the proportion equation
106,538.26 : 159,765.85 = 39,942.09 : x - Step 2: Convert to fraction form
106,538.26/159,765.85 = 39,942.09/x - Step 3: Cross multiply
106,538.26x = 159,765.85 × 39,942.09 - Step 4: Simplify right side
106,538.26x = 6,381,381,959.63 - Step 5: Solve for x
x = 6,381,381,959.63/106,538.26 - Step 6: Final answer
x = 59,897.56
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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.