Finding the Fourth Proportional to 221,145,223.87, 305,290,893.95 and 137,540,303.56
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Solution
The fourth proportional to 221,145,223.87, 305,290,893.95 and 137,540,303.56 is: 189,874,334.58
Step by Step Solution
- Step 1: Write the proportion equation
221,145,223.87 : 305,290,893.95 = 137,540,303.56 : x - Step 2: Convert to fraction form
221,145,223.87/305,290,893.95 = 137,540,303.56/x - Step 3: Cross multiply
221,145,223.87x = 305,290,893.95 × 137,540,303.56 - Step 4: Simplify right side
221,145,223.87x = 41,989,802,227,299,064 - Step 5: Solve for x
x = 41,989,802,227,299,064/221,145,223.87 - Step 6: Final answer
x = 189,874,334.58
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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.