Finding the Fourth Proportional to 97,882.18, 146,821.21 and 31,322.32
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Solution
The fourth proportional to 97,882.18, 146,821.21 and 31,322.32 is: 46,982.82
Step by Step Solution
- Step 1: Write the proportion equation
97,882.18 : 146,821.21 = 31,322.32 : x - Step 2: Convert to fraction form
97,882.18/146,821.21 = 31,322.32/x - Step 3: Cross multiply
97,882.18x = 146,821.21 × 31,322.32 - Step 4: Simplify right side
97,882.18x = 4,598,780,477.05 - Step 5: Solve for x
x = 4,598,780,477.05/97,882.18 - Step 6: Final answer
x = 46,982.82
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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.