Finding the Fourth Proportional to 206,169,787.91, 284,506,986.98 and 113,349,619.91
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Solution
The fourth proportional to 206,169,787.91, 284,506,986.98 and 113,349,619.91 is: 156,418,450.84
Step by Step Solution
- Step 1: Write the proportion equation
206,169,787.91 : 284,506,986.98 = 113,349,619.91 : x - Step 2: Convert to fraction form
206,169,787.91/284,506,986.98 = 113,349,619.91/x - Step 3: Cross multiply
206,169,787.91x = 284,506,986.98 × 113,349,619.91 - Step 4: Simplify right side
206,169,787.91x = 32,248,758,833,933,040 - Step 5: Solve for x
x = 32,248,758,833,933,040/206,169,787.91 - Step 6: Final answer
x = 156,418,450.84
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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.