Finding the Fourth Proportional to 135,715,666,450.71, 187,296,125,375.35 and 74,748,021,542.13
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Solution
The fourth proportional to 135,715,666,450.71, 187,296,125,375.35 and 74,748,021,542.13 is: 103,156,954,391.84
Step by Step Solution
- Step 1: Write the proportion equation
135,715,666,450.71 : 187,296,125,375.35 = 74,748,021,542.13 : x - Step 2: Convert to fraction form
135,715,666,450.71/187,296,125,375.35 = 74,748,021,542.13/x - Step 3: Cross multiply
135,715,666,450.71x = 187,296,125,375.35 × 74,748,021,542.13 - Step 4: Simplify right side
135,715,666,450.71x = 14,000,014,814,314,143,678,464 - Step 5: Solve for x
x = 14,000,014,814,314,143,678,464/135,715,666,450.71 - Step 6: Final answer
x = 103,156,954,391.84
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.