Finding the Fourth Proportional to 106,530.62, 159,797.16 and 31,648.95
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Solution
The fourth proportional to 106,530.62, 159,797.16 and 31,648.95 is: 47,473.79
Step by Step Solution
- Step 1: Write the proportion equation
106,530.62 : 159,797.16 = 31,648.95 : x - Step 2: Convert to fraction form
106,530.62/159,797.16 = 31,648.95/x - Step 3: Cross multiply
106,530.62x = 159,797.16 × 31,648.95 - Step 4: Simplify right side
106,530.62x = 5,057,412,326.98 - Step 5: Solve for x
x = 5,057,412,326.98/106,530.62 - Step 6: Final answer
x = 47,473.79
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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.