Finding the Fourth Proportional to 204,646.68, 306,895.19 and 78,224.40
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Solution
The fourth proportional to 204,646.68, 306,895.19 and 78,224.40 is: 117,307.99
Step by Step Solution
- Step 1: Write the proportion equation
204,646.68 : 306,895.19 = 78,224.40 : x - Step 2: Convert to fraction form
204,646.68/306,895.19 = 78,224.40/x - Step 3: Cross multiply
204,646.68x = 306,895.19 × 78,224.40 - Step 4: Simplify right side
204,646.68x = 24,006,691,709.51 - Step 5: Solve for x
x = 24,006,691,709.51/204,646.68 - Step 6: Final answer
x = 117,307.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.