Finding the Fourth Proportional to 105,022.80, 157,544.01 and 41,827.68
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Solution
The fourth proportional to 105,022.80, 157,544.01 and 41,827.68 is: 62,745.43
Step by Step Solution
- Step 1: Write the proportion equation
105,022.80 : 157,544.01 = 41,827.68 : x - Step 2: Convert to fraction form
105,022.80/157,544.01 = 41,827.68/x - Step 3: Cross multiply
105,022.80x = 157,544.01 × 41,827.68 - Step 4: Simplify right side
105,022.80x = 6,589,700,436.20 - Step 5: Solve for x
x = 6,589,700,436.20/105,022.80 - Step 6: Final answer
x = 62,745.43
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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.