Finding the Fourth Proportional to 205,374.15, 283,406.16 and 114,712.05
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Solution
The fourth proportional to 205,374.15, 283,406.16 and 114,712.05 is: 158,296.95
Step by Step Solution
- Step 1: Write the proportion equation
205,374.15 : 283,406.16 = 114,712.05 : x - Step 2: Convert to fraction form
205,374.15/283,406.16 = 114,712.05/x - Step 3: Cross multiply
205,374.15x = 283,406.16 × 114,712.05 - Step 4: Simplify right side
205,374.15x = 32,510,101,596.23 - Step 5: Solve for x
x = 32,510,101,596.23/205,374.15 - Step 6: Final answer
x = 158,296.95
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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.