Finding the Fourth Proportional to 143,078,246,495.08, 197,442,231,580.22 and 77,971,291,248.92
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Solution
The fourth proportional to 143,078,246,495.08, 197,442,231,580.22 and 77,971,291,248.92 is: 107,597,249,201.03
Step by Step Solution
- Step 1: Write the proportion equation
143,078,246,495.08 : 197,442,231,580.22 = 77,971,291,248.92 : x - Step 2: Convert to fraction form
143,078,246,495.08/197,442,231,580.22 = 77,971,291,248.92/x - Step 3: Cross multiply
143,078,246,495.08x = 197,442,231,580.22 × 77,971,291,248.92 - Step 4: Simplify right side
143,078,246,495.08x = 15,394,825,743,378,044,420,096 - Step 5: Solve for x
x = 15,394,825,743,378,044,420,096/143,078,246,495.08 - Step 6: Final answer
x = 107,597,249,201.03
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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.