Finding the Fourth Proportional to 109,891.41, 164,857.63 and 49,924.09
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Solution
The fourth proportional to 109,891.41, 164,857.63 and 49,924.09 is: 74,895.46
Step by Step Solution
- Step 1: Write the proportion equation
109,891.41 : 164,857.63 = 49,924.09 : x - Step 2: Convert to fraction form
109,891.41/164,857.63 = 49,924.09/x - Step 3: Cross multiply
109,891.41x = 164,857.63 × 49,924.09 - Step 4: Simplify right side
109,891.41x = 8,230,367,157.31 - Step 5: Solve for x
x = 8,230,367,157.31/109,891.41 - Step 6: Final answer
x = 74,895.46
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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.