Finding the Fourth Proportional to 75,968.16, 113,975.30 and 53,824.36
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Solution
The fourth proportional to 75,968.16, 113,975.30 and 53,824.36 is: 80,752.88
Step by Step Solution
- Step 1: Write the proportion equation
75,968.16 : 113,975.30 = 53,824.36 : x - Step 2: Convert to fraction form
75,968.16/113,975.30 = 53,824.36/x - Step 3: Cross multiply
75,968.16x = 113,975.30 × 53,824.36 - Step 4: Simplify right side
75,968.16x = 6,134,647,578.31 - Step 5: Solve for x
x = 6,134,647,578.31/75,968.16 - Step 6: Final answer
x = 80,752.88
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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.