Finding the Fourth Proportional to 216,998.20, 299,257.68 and 148,895.02
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Solution
The fourth proportional to 216,998.20, 299,257.68 and 148,895.02 is: 205,338.01
Step by Step Solution
- Step 1: Write the proportion equation
216,998.20 : 299,257.68 = 148,895.02 : x - Step 2: Convert to fraction form
216,998.20/299,257.68 = 148,895.02/x - Step 3: Cross multiply
216,998.20x = 299,257.68 × 148,895.02 - Step 4: Simplify right side
216,998.20x = 44,557,978,248.75 - Step 5: Solve for x
x = 44,557,978,248.75/216,998.20 - Step 6: Final answer
x = 205,338.01
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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.