Finding the Fourth Proportional to 206,509.96, 285,083.88 and 138,502.12
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Solution
The fourth proportional to 206,509.96, 285,083.88 and 138,502.12 is: 191,200.08
Step by Step Solution
- Step 1: Write the proportion equation
206,509.96 : 285,083.88 = 138,502.12 : x - Step 2: Convert to fraction form
206,509.96/285,083.88 = 138,502.12/x - Step 3: Cross multiply
206,509.96x = 285,083.88 × 138,502.12 - Step 4: Simplify right side
206,509.96x = 39,484,721,757.83 - Step 5: Solve for x
x = 39,484,721,757.83/206,509.96 - Step 6: Final answer
x = 191,200.08
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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.