Finding the Fourth Proportional to 102,706.63, 141,734.17 and 57,392.42
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Solution
The fourth proportional to 102,706.63, 141,734.17 and 57,392.42 is: 79,200.99
Step by Step Solution
- Step 1: Write the proportion equation
102,706.63 : 141,734.17 = 57,392.42 : x - Step 2: Convert to fraction form
102,706.63/141,734.17 = 57,392.42/x - Step 3: Cross multiply
102,706.63x = 141,734.17 × 57,392.42 - Step 4: Simplify right side
102,706.63x = 8,134,466,376.06 - Step 5: Solve for x
x = 8,134,466,376.06/102,706.63 - Step 6: Final answer
x = 79,200.99
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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.