Finding the Fourth Proportional to 206,583.68, 285,073.80 and 115,931.18
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Solution
The fourth proportional to 206,583.68, 285,073.80 and 115,931.18 is: 159,978.47
Step by Step Solution
- Step 1: Write the proportion equation
206,583.68 : 285,073.80 = 115,931.18 : x - Step 2: Convert to fraction form
206,583.68/285,073.80 = 115,931.18/x - Step 3: Cross multiply
206,583.68x = 285,073.80 × 115,931.18 - Step 4: Simplify right side
206,583.68x = 33,048,942,021.08 - Step 5: Solve for x
x = 33,048,942,021.08/206,583.68 - Step 6: Final answer
x = 159,978.47
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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.