Finding the Fourth Proportional to 75,378.40, 104,021.04 and 41,843.68
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Solution
The fourth proportional to 75,378.40, 104,021.04 and 41,843.68 is: 57,743.64
Step by Step Solution
- Step 1: Write the proportion equation
75,378.40 : 104,021.04 = 41,843.68 : x - Step 2: Convert to fraction form
75,378.40/104,021.04 = 41,843.68/x - Step 3: Cross multiply
75,378.40x = 104,021.04 × 41,843.68 - Step 4: Simplify right side
75,378.40x = 4,352,623,111.03 - Step 5: Solve for x
x = 4,352,623,111.03/75,378.40 - Step 6: Final answer
x = 57,743.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.