Finding the Fourth Proportional to 153,833,786,570.29, 212,291,871,932.26 and 85,246,345,357.61
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Solution
The fourth proportional to 153,833,786,570.29, 212,291,871,932.26 and 85,246,345,357.61 is: 117,640,647,316.99
Step by Step Solution
- Step 1: Write the proportion equation
153,833,786,570.29 : 212,291,871,932.26 = 85,246,345,357.61 : x - Step 2: Convert to fraction form
153,833,786,570.29/212,291,871,932.26 = 85,246,345,357.61/x - Step 3: Cross multiply
153,833,786,570.29x = 212,291,871,932.26 × 85,246,345,357.61 - Step 4: Simplify right side
153,833,786,570.29x = 18,097,106,231,351,798,923,264 - Step 5: Solve for x
x = 18,097,106,231,351,798,923,264/153,833,786,570.29 - Step 6: Final answer
x = 117,640,647,316.99
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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.