Finding the Fourth Proportional to 205,774.62, 283,980.02 and 115,125.18
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Solution
The fourth proportional to 205,774.62, 283,980.02 and 115,125.18 is: 158,878.92
Step by Step Solution
- Step 1: Write the proportion equation
205,774.62 : 283,980.02 = 115,125.18 : x - Step 2: Convert to fraction form
205,774.62/283,980.02 = 115,125.18/x - Step 3: Cross multiply
205,774.62x = 283,980.02 × 115,125.18 - Step 4: Simplify right side
205,774.62x = 32,693,250,343.28 - Step 5: Solve for x
x = 32,693,250,343.28/205,774.62 - Step 6: Final answer
x = 158,878.92
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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.