Finding the Fourth Proportional to 209,941.14, 289,718.12 and 114,447.84
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Solution
The fourth proportional to 209,941.14, 289,718.12 and 114,447.84 is: 157,937.66
Step by Step Solution
- Step 1: Write the proportion equation
209,941.14 : 289,718.12 = 114,447.84 : x - Step 2: Convert to fraction form
209,941.14/289,718.12 = 114,447.84/x - Step 3: Cross multiply
209,941.14x = 289,718.12 × 114,447.84 - Step 4: Simplify right side
209,941.14x = 33,157,611,598.77 - Step 5: Solve for x
x = 33,157,611,598.77/209,941.14 - Step 6: Final answer
x = 157,937.66
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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.