Finding the Fourth Proportional to 120,125,224.56, 180,169,630.79 and 32,693,554.74
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Solution
The fourth proportional to 120,125,224.56, 180,169,630.79 and 32,693,554.74 is: 49,035,377.11
Step by Step Solution
- Step 1: Write the proportion equation
120,125,224.56 : 180,169,630.79 = 32,693,554.74 : x - Step 2: Convert to fraction form
120,125,224.56/180,169,630.79 = 32,693,554.74/x - Step 3: Cross multiply
120,125,224.56x = 180,169,630.79 × 32,693,554.74 - Step 4: Simplify right side
120,125,224.56x = 5,890,385,686,718,454 - Step 5: Solve for x
x = 5,890,385,686,718,454/120,125,224.56 - Step 6: Final answer
x = 49,035,377.11
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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.