Finding the Fourth Proportional to 205,883.84, 284,079.32 and 129,358.60
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Solution
The fourth proportional to 205,883.84, 284,079.32 and 129,358.60 is: 178,489.50
Step by Step Solution
- Step 1: Write the proportion equation
205,883.84 : 284,079.32 = 129,358.60 : x - Step 2: Convert to fraction form
205,883.84/284,079.32 = 129,358.60/x - Step 3: Cross multiply
205,883.84x = 284,079.32 × 129,358.60 - Step 4: Simplify right side
205,883.84x = 36,748,103,124.15 - Step 5: Solve for x
x = 36,748,103,124.15/205,883.84 - Step 6: Final answer
x = 178,489.50
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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.