Finding the Fourth Proportional to 77,262,336,218.70, 115,893,504,328.05 and 74,214,840,948.30
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Solution
The fourth proportional to 77,262,336,218.70, 115,893,504,328.05 and 74,214,840,948.30 is: 111,322,261,422.45
Step by Step Solution
- Step 1: Write the proportion equation
77,262,336,218.70 : 115,893,504,328.05 = 74,214,840,948.30 : x - Step 2: Convert to fraction form
77,262,336,218.70/115,893,504,328.05 = 74,214,840,948.30/x - Step 3: Cross multiply
77,262,336,218.70x = 115,893,504,328.05 × 74,214,840,948.30 - Step 4: Simplify right side
77,262,336,218.70x = 8,601,017,990,647,349,510,144 - Step 5: Solve for x
x = 8,601,017,990,647,349,510,144/77,262,336,218.70 - Step 6: Final answer
x = 111,322,261,422.45
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1.5x scale
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.