Finding the Fourth Proportional to 189,924.95, 284,782.25 and 77,683.98
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Solution
The fourth proportional to 189,924.95, 284,782.25 and 77,683.98 is: 116,482.95
Step by Step Solution
- Step 1: Write the proportion equation
189,924.95 : 284,782.25 = 77,683.98 : x - Step 2: Convert to fraction form
189,924.95/284,782.25 = 77,683.98/x - Step 3: Cross multiply
189,924.95x = 284,782.25 × 77,683.98 - Step 4: Simplify right side
189,924.95x = 22,123,019,325.31 - Step 5: Solve for x
x = 22,123,019,325.31/189,924.95 - Step 6: Final answer
x = 116,482.95
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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.