Finding the Fourth Proportional to 102,515.84, 141,471.92 and 57,193.82
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Solution
The fourth proportional to 102,515.84, 141,471.92 and 57,193.82 is: 78,927.50
Step by Step Solution
- Step 1: Write the proportion equation
102,515.84 : 141,471.92 = 57,193.82 : x - Step 2: Convert to fraction form
102,515.84/141,471.92 = 57,193.82/x - Step 3: Cross multiply
102,515.84x = 141,471.92 × 57,193.82 - Step 4: Simplify right side
102,515.84x = 8,091,318,534.21 - Step 5: Solve for x
x = 8,091,318,534.21/102,515.84 - Step 6: Final answer
x = 78,927.50
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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.