Finding the Fourth Proportional to 142,966.40, 197,302.57 and 82,548.09
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Solution
The fourth proportional to 142,966.40, 197,302.57 and 82,548.09 is: 113,921.53
Step by Step Solution
- Step 1: Write the proportion equation
142,966.40 : 197,302.57 = 82,548.09 : x - Step 2: Convert to fraction form
142,966.40/197,302.57 = 82,548.09/x - Step 3: Cross multiply
142,966.40x = 197,302.57 × 82,548.09 - Step 4: Simplify right side
142,966.40x = 16,286,950,099.22 - Step 5: Solve for x
x = 16,286,950,099.22/142,966.40 - Step 6: Final answer
x = 113,921.53
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.