Finding the Fourth Proportional to 97,770.36, 146,653.74 and 31,209.96
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Solution
The fourth proportional to 97,770.36, 146,653.74 and 31,209.96 is: 46,814.37
Step by Step Solution
- Step 1: Write the proportion equation
97,770.36 : 146,653.74 = 31,209.96 : x - Step 2: Convert to fraction form
97,770.36/146,653.74 = 31,209.96/x - Step 3: Cross multiply
97,770.36x = 146,653.74 × 31,209.96 - Step 4: Simplify right side
97,770.36x = 4,577,057,359.25 - Step 5: Solve for x
x = 4,577,057,359.25/97,770.36 - Step 6: Final answer
x = 46,814.37
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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.