Finding the Fourth Proportional to 218,723.74, 328,014.68 and 83,780.63
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Solution
The fourth proportional to 218,723.74, 328,014.68 and 83,780.63 is: 125,643.78
Step by Step Solution
- Step 1: Write the proportion equation
218,723.74 : 328,014.68 = 83,780.63 : x - Step 2: Convert to fraction form
218,723.74/328,014.68 = 83,780.63/x - Step 3: Cross multiply
218,723.74x = 328,014.68 × 83,780.63 - Step 4: Simplify right side
218,723.74x = 27,481,276,539.65 - Step 5: Solve for x
x = 27,481,276,539.65/218,723.74 - Step 6: Final answer
x = 125,643.78
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.