Finding the Fourth Proportional to 75,846.06, 113,720.49 and 31,503.42
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Solution
The fourth proportional to 75,846.06, 113,720.49 and 31,503.42 is: 47,234.94
Step by Step Solution
- Step 1: Write the proportion equation
75,846.06 : 113,720.49 = 31,503.42 : x - Step 2: Convert to fraction form
75,846.06/113,720.49 = 31,503.42/x - Step 3: Cross multiply
75,846.06x = 113,720.49 × 31,503.42 - Step 4: Simplify right side
75,846.06x = 3,582,584,359.08 - Step 5: Solve for x
x = 3,582,584,359.08/75,846.06 - Step 6: Final answer
x = 47,234.94
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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.