Finding the Fourth Proportional to 189,633.41, 284,283.11 and 77,407.95
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Solution
The fourth proportional to 189,633.41, 284,283.11 and 77,407.95 is: 116,043.75
Step by Step Solution
- Step 1: Write the proportion equation
189,633.41 : 284,283.11 = 77,407.95 : x - Step 2: Convert to fraction form
189,633.41/284,283.11 = 77,407.95/x - Step 3: Cross multiply
189,633.41x = 284,283.11 × 77,407.95 - Step 4: Simplify right side
189,633.41x = 22,005,772,377.68 - Step 5: Solve for x
x = 22,005,772,377.68/189,633.41 - Step 6: Final answer
x = 116,043.75
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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.