Finding the Fourth Proportional to 146,146,074, 201,681,512.10 and 87,408,738.06
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Solution
The fourth proportional to 146,146,074, 201,681,512.10 and 87,408,738.06 is: 120,624,016.64
Step by Step Solution
- Step 1: Write the proportion equation
146,146,074 : 201,681,512.10 = 87,408,738.06 : x - Step 2: Convert to fraction form
146,146,074/201,681,512.10 = 87,408,738.06/x - Step 3: Cross multiply
146,146,074x = 201,681,512.10 × 87,408,738.06 - Step 4: Simplify right side
146,146,074x = 17,628,726,462,693,620 - Step 5: Solve for x
x = 17,628,726,462,693,620/146,146,074 - Step 6: Final answer
x = 120,624,016.64
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1.5x scale
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.