Finding the Fourth Proportional to 205,070.81, 283,022.17 and 120,187.80
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Solution
The fourth proportional to 205,070.81, 283,022.17 and 120,187.80 is: 165,873.50
Step by Step Solution
- Step 1: Write the proportion equation
205,070.81 : 283,022.17 = 120,187.80 : x - Step 2: Convert to fraction form
205,070.81/283,022.17 = 120,187.80/x - Step 3: Cross multiply
205,070.81x = 283,022.17 × 120,187.80 - Step 4: Simplify right side
205,070.81x = 34,015,811,663.06 - Step 5: Solve for x
x = 34,015,811,663.06/205,070.81 - Step 6: Final answer
x = 165,873.50
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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.