Finding the Fourth Proportional to 106,804.26, 160,214.94 and 31,918.95
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Solution
The fourth proportional to 106,804.26, 160,214.94 and 31,918.95 is: 47,880.98
Step by Step Solution
- Step 1: Write the proportion equation
106,804.26 : 160,214.94 = 31,918.95 : x - Step 2: Convert to fraction form
106,804.26/160,214.94 = 31,918.95/x - Step 3: Cross multiply
106,804.26x = 160,214.94 × 31,918.95 - Step 4: Simplify right side
106,804.26x = 5,113,892,659.11 - Step 5: Solve for x
x = 5,113,892,659.11/106,804.26 - Step 6: Final answer
x = 47,880.98
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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.