Finding the Fourth Proportional to 137,678.74, 189,981.12 and 77,236.84
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Solution
The fourth proportional to 137,678.74, 189,981.12 and 77,236.84 is: 106,578.12
Step by Step Solution
- Step 1: Write the proportion equation
137,678.74 : 189,981.12 = 77,236.84 : x - Step 2: Convert to fraction form
137,678.74/189,981.12 = 77,236.84/x - Step 3: Cross multiply
137,678.74x = 189,981.12 × 77,236.84 - Step 4: Simplify right side
137,678.74x = 14,673,541,368.46 - Step 5: Solve for x
x = 14,673,541,368.46/137,678.74 - Step 6: Final answer
x = 106,578.12
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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.