Finding the Fourth Proportional to 189,316.44, 283,947.12 and 56,171.88
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Solution
The fourth proportional to 189,316.44, 283,947.12 and 56,171.88 is: 84,249.65
Step by Step Solution
- Step 1: Write the proportion equation
189,316.44 : 283,947.12 = 56,171.88 : x - Step 2: Convert to fraction form
189,316.44/283,947.12 = 56,171.88/x - Step 3: Cross multiply
189,316.44x = 283,947.12 × 56,171.88 - Step 4: Simplify right side
189,316.44x = 15,949,843,550.99 - Step 5: Solve for x
x = 15,949,843,550.99/189,316.44 - Step 6: Final answer
x = 84,249.65
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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.