Finding the Fourth Proportional to 149,230.41, 205,931.74 and 82,158.09
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Solution
The fourth proportional to 149,230.41, 205,931.74 and 82,158.09 is: 113,374.74
Step by Step Solution
- Step 1: Write the proportion equation
149,230.41 : 205,931.74 = 82,158.09 : x - Step 2: Convert to fraction form
149,230.41/205,931.74 = 82,158.09/x - Step 3: Cross multiply
149,230.41x = 205,931.74 × 82,158.09 - Step 4: Simplify right side
149,230.41x = 16,918,958,428.78 - Step 5: Solve for x
x = 16,918,958,428.78/149,230.41 - Step 6: Final answer
x = 113,374.74
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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.