Finding the Fourth Proportional to 99,782.96, 137,724.09 and 57,366.14
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Solution
The fourth proportional to 99,782.96, 137,724.09 and 57,366.14 is: 79,178.84
Step by Step Solution
- Step 1: Write the proportion equation
99,782.96 : 137,724.09 = 57,366.14 : x - Step 2: Convert to fraction form
99,782.96/137,724.09 = 57,366.14/x - Step 3: Cross multiply
99,782.96x = 137,724.09 × 57,366.14 - Step 4: Simplify right side
99,782.96x = 7,900,699,428.31 - Step 5: Solve for x
x = 7,900,699,428.31/99,782.96 - Step 6: Final answer
x = 79,178.84
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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.