Finding the Fourth Proportional to 97,890,539,074.18, 135,088,950,418.54 and 54,485,892,451.37
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Solution
The fourth proportional to 97,890,539,074.18, 135,088,950,418.54 and 54,485,892,451.37 is: 75,190,535,198.66
Step by Step Solution
- Step 1: Write the proportion equation
97,890,539,074.18 : 135,088,950,418.54 = 54,485,892,451.37 : x - Step 2: Convert to fraction form
97,890,539,074.18/135,088,950,418.54 = 54,485,892,451.37/x - Step 3: Cross multiply
97,890,539,074.18x = 135,088,950,418.54 × 54,485,892,451.37 - Step 4: Simplify right side
97,890,539,074.18x = 7,360,442,023,872,348,291,072 - Step 5: Solve for x
x = 7,360,442,023,872,348,291,072/97,890,539,074.18 - Step 6: Final answer
x = 75,190,535,198.66
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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.