Finding the Fourth Proportional to 205,694.18, 283,854.21 and 116,270.18
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Solution
The fourth proportional to 205,694.18, 283,854.21 and 116,270.18 is: 160,450.72
Step by Step Solution
- Step 1: Write the proportion equation
205,694.18 : 283,854.21 = 116,270.18 : x - Step 2: Convert to fraction form
205,694.18/283,854.21 = 116,270.18/x - Step 3: Cross multiply
205,694.18x = 283,854.21 × 116,270.18 - Step 4: Simplify right side
205,694.18x = 33,003,780,090.46 - Step 5: Solve for x
x = 33,003,780,090.46/205,694.18 - Step 6: Final answer
x = 160,450.72
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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.