Finding the Fourth Proportional to 205,799.13, 283,912.70 and 120,877.92
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Solution
The fourth proportional to 205,799.13, 283,912.70 and 120,877.92 is: 166,758.61
Step by Step Solution
- Step 1: Write the proportion equation
205,799.13 : 283,912.70 = 120,877.92 : x - Step 2: Convert to fraction form
205,799.13/283,912.70 = 120,877.92/x - Step 3: Cross multiply
205,799.13x = 283,912.70 × 120,877.92 - Step 4: Simplify right side
205,799.13x = 34,318,776,033.19 - Step 5: Solve for x
x = 34,318,776,033.19/205,799.13 - Step 6: Final answer
x = 166,758.61
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1.5x scale
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.