Finding the Fourth Proportional to 76,403,942.14, 114,533,868.54 and 38,029,178.02
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Solution
The fourth proportional to 76,403,942.14, 114,533,868.54 and 38,029,178.02 is: 57,007,907.63
Step by Step Solution
- Step 1: Write the proportion equation
76,403,942.14 : 114,533,868.54 = 38,029,178.02 : x - Step 2: Convert to fraction form
76,403,942.14/114,533,868.54 = 38,029,178.02/x - Step 3: Cross multiply
76,403,942.14x = 114,533,868.54 × 38,029,178.02 - Step 4: Simplify right side
76,403,942.14x = 4,355,628,876,026,938 - Step 5: Solve for x
x = 4,355,628,876,026,938/76,403,942.14 - Step 6: Final answer
x = 57,007,907.63
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.