Finding the Fourth Proportional to 106,689.75, 160,042.88 and 31,804.17
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Solution
The fourth proportional to 106,689.75, 160,042.88 and 31,804.17 is: 47,708.72
Step by Step Solution
- Step 1: Write the proportion equation
106,689.75 : 160,042.88 = 31,804.17 : x - Step 2: Convert to fraction form
106,689.75/160,042.88 = 31,804.17/x - Step 3: Cross multiply
106,689.75x = 160,042.88 × 31,804.17 - Step 4: Simplify right side
106,689.75x = 5,090,030,962.81 - Step 5: Solve for x
x = 5,090,030,962.81/106,689.75 - Step 6: Final answer
x = 47,708.72
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1.5x scale
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.