Finding the Fourth Proportional to 143,078,246,494.08, 197,442,231,578.84 and 77,971,291,247.92
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Solution
The fourth proportional to 143,078,246,494.08, 197,442,231,578.84 and 77,971,291,247.92 is: 107,597,249,199.65
Step by Step Solution
- Step 1: Write the proportion equation
143,078,246,494.08 : 197,442,231,578.84 = 77,971,291,247.92 : x - Step 2: Convert to fraction form
143,078,246,494.08/197,442,231,578.84 = 77,971,291,247.92/x - Step 3: Cross multiply
143,078,246,494.08x = 197,442,231,578.84 × 77,971,291,247.92 - Step 4: Simplify right side
143,078,246,494.08x = 15,394,825,743,073,001,078,784 - Step 5: Solve for x
x = 15,394,825,743,073,001,078,784/143,078,246,494.08 - Step 6: Final answer
x = 107,597,249,199.65
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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.