Finding the Fourth Proportional to 189,926.96, 284,785.25 and 77,685.98
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Solution
The fourth proportional to 189,926.96, 284,785.25 and 77,685.98 is: 116,485.94
Step by Step Solution
- Step 1: Write the proportion equation
189,926.96 : 284,785.25 = 77,685.98 : x - Step 2: Convert to fraction form
189,926.96/284,785.25 = 77,685.98/x - Step 3: Cross multiply
189,926.96x = 284,785.25 × 77,685.98 - Step 4: Simplify right side
189,926.96x = 22,123,819,423.44 - Step 5: Solve for x
x = 22,123,819,423.44/189,926.96 - Step 6: Final answer
x = 116,485.94
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.