Finding the Fourth Proportional to 75,826.09, 113,762.21 and 35,875.75
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Solution
The fourth proportional to 75,826.09, 113,762.21 and 35,875.75 is: 53,824.54
Step by Step Solution
- Step 1: Write the proportion equation
75,826.09 : 113,762.21 = 35,875.75 : x - Step 2: Convert to fraction form
75,826.09/113,762.21 = 35,875.75/x - Step 3: Cross multiply
75,826.09x = 113,762.21 × 35,875.75 - Step 4: Simplify right side
75,826.09x = 4,081,304,605.41 - Step 5: Solve for x
x = 4,081,304,605.41/75,826.09 - Step 6: Final answer
x = 53,824.54
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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.