Finding the Fourth Proportional to 97,235.75, 145,853.63 and 31,571.75
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Solution
The fourth proportional to 97,235.75, 145,853.63 and 31,571.75 is: 47,357.63
Step by Step Solution
- Step 1: Write the proportion equation
97,235.75 : 145,853.63 = 31,571.75 : x - Step 2: Convert to fraction form
97,235.75/145,853.63 = 31,571.75/x - Step 3: Cross multiply
97,235.75x = 145,853.63 × 31,571.75 - Step 4: Simplify right side
97,235.75x = 4,604,854,342.95 - Step 5: Solve for x
x = 4,604,854,342.95/97,235.75 - Step 6: Final answer
x = 47,357.63
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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.