Finding the Fourth Proportional to 149,234.24, 205,942.01 and 81,251.07
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Solution
The fourth proportional to 149,234.24, 205,942.01 and 81,251.07 is: 112,125.81
Step by Step Solution
- Step 1: Write the proportion equation
149,234.24 : 205,942.01 = 81,251.07 : x - Step 2: Convert to fraction form
149,234.24/205,942.01 = 81,251.07/x - Step 3: Cross multiply
149,234.24x = 205,942.01 × 81,251.07 - Step 4: Simplify right side
149,234.24x = 16,733,009,343.81 - Step 5: Solve for x
x = 16,733,009,343.81/149,234.24 - Step 6: Final answer
x = 112,125.81
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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.