Finding the Fourth Proportional to 75,843.86, 113,765.84 and 31,458.70
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Solution
The fourth proportional to 75,843.86, 113,765.84 and 31,458.70 is: 47,188.07
Step by Step Solution
- Step 1: Write the proportion equation
75,843.86 : 113,765.84 = 31,458.70 : x - Step 2: Convert to fraction form
75,843.86/113,765.84 = 31,458.70/x - Step 3: Cross multiply
75,843.86x = 113,765.84 × 31,458.70 - Step 4: Simplify right side
75,843.86x = 3,578,925,430.81 - Step 5: Solve for x
x = 3,578,925,430.81/75,843.86 - Step 6: Final answer
x = 47,188.07
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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.