Finding the Fourth Proportional to 149,482.13, 206,285.34 and 82,414.13
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Solution
The fourth proportional to 149,482.13, 206,285.34 and 82,414.13 is: 113,731.50
Step by Step Solution
- Step 1: Write the proportion equation
149,482.13 : 206,285.34 = 82,414.13 : x - Step 2: Convert to fraction form
149,482.13/206,285.34 = 82,414.13/x - Step 3: Cross multiply
149,482.13x = 206,285.34 × 82,414.13 - Step 4: Simplify right side
149,482.13x = 17,000,826,827.85 - Step 5: Solve for x
x = 17,000,826,827.85/149,482.13 - Step 6: Final answer
x = 113,731.50
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1.5x scale
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.