Finding the Fourth Proportional to 146,835,808,612.40, 202,633,425,629.36 and 81,728,838,678.17
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Solution
The fourth proportional to 146,835,808,612.40, 202,633,425,629.36 and 81,728,838,678.17 is: 112,785,802,799.53
Step by Step Solution
- Step 1: Write the proportion equation
146,835,808,612.40 : 202,633,425,629.36 = 81,728,838,678.17 : x - Step 2: Convert to fraction form
146,835,808,612.40/202,633,425,629.36 = 81,728,838,678.17/x - Step 3: Cross multiply
146,835,808,612.40x = 202,633,425,629.36 × 81,728,838,678.17 - Step 4: Simplify right side
146,835,808,612.40x = 16,560,994,554,067,529,236,480 - Step 5: Solve for x
x = 16,560,994,554,067,529,236,480/146,835,808,612.40 - Step 6: Final answer
x = 112,785,802,799.53
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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.