Finding the Fourth Proportional to 231,787.09, 319,855.12 and 142,345.81
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Solution
The fourth proportional to 231,787.09, 319,855.12 and 142,345.81 is: 196,430.42
Step by Step Solution
- Step 1: Write the proportion equation
231,787.09 : 319,855.12 = 142,345.81 : x - Step 2: Convert to fraction form
231,787.09/319,855.12 = 142,345.81/x - Step 3: Cross multiply
231,787.09x = 319,855.12 × 142,345.81 - Step 4: Simplify right side
231,787.09x = 45,530,036,139.05 - Step 5: Solve for x
x = 45,530,036,139.05/231,787.09 - Step 6: Final answer
x = 196,430.42
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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.