Finding the Fourth Proportional to 205,408.64, 283,465.80 and 120,527.12
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Solution
The fourth proportional to 205,408.64, 283,465.80 and 120,527.12 is: 166,328.53
Step by Step Solution
- Step 1: Write the proportion equation
205,408.64 : 283,465.80 = 120,527.12 : x - Step 2: Convert to fraction form
205,408.64/283,465.80 = 120,527.12/x - Step 3: Cross multiply
205,408.64x = 283,465.80 × 120,527.12 - Step 4: Simplify right side
205,408.64x = 34,165,316,492.50 - Step 5: Solve for x
x = 34,165,316,492.50/205,408.64 - Step 6: Final answer
x = 166,328.53
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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.