Finding the Fourth Proportional to 102,729,403.98, 141,766,542.63 and 56,318,662.26
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Solution
The fourth proportional to 102,729,403.98, 141,766,542.63 and 56,318,662.26 is: 77,719,734.81
Step by Step Solution
- Step 1: Write the proportion equation
102,729,403.98 : 141,766,542.63 = 56,318,662.26 : x - Step 2: Convert to fraction form
102,729,403.98/141,766,542.63 = 56,318,662.26/x - Step 3: Cross multiply
102,729,403.98x = 141,766,542.63 × 56,318,662.26 - Step 4: Simplify right side
102,729,403.98x = 7,984,102,034,146,862 - Step 5: Solve for x
x = 7,984,102,034,146,862/102,729,403.98 - Step 6: Final answer
x = 77,719,734.81
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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.