Finding the Fourth Proportional to 75,635.16, 113,485.14 and 31,294.14
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Solution
The fourth proportional to 75,635.16, 113,485.14 and 31,294.14 is: 46,954.62
Step by Step Solution
- Step 1: Write the proportion equation
75,635.16 : 113,485.14 = 31,294.14 : x - Step 2: Convert to fraction form
75,635.16/113,485.14 = 31,294.14/x - Step 3: Cross multiply
75,635.16x = 113,485.14 × 31,294.14 - Step 4: Simplify right side
75,635.16x = 3,551,419,859.08 - Step 5: Solve for x
x = 3,551,419,859.08/75,635.16 - Step 6: Final answer
x = 46,954.62
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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.