Finding the Fourth Proportional to 164,268,203.40, 246,402,305.10 and 99,644,977.80
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Solution
The fourth proportional to 164,268,203.40, 246,402,305.10 and 99,644,977.80 is: 149,467,466.70
Step by Step Solution
- Step 1: Write the proportion equation
164,268,203.40 : 246,402,305.10 = 99,644,977.80 : x - Step 2: Convert to fraction form
164,268,203.40/246,402,305.10 = 99,644,977.80/x - Step 3: Cross multiply
164,268,203.40x = 246,402,305.10 × 99,644,977.80 - Step 4: Simplify right side
164,268,203.40x = 24,552,752,221,558,324 - Step 5: Solve for x
x = 24,552,752,221,558,324/164,268,203.40 - Step 6: Final answer
x = 149,467,466.70
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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.