Finding the Fourth Proportional to 161,540,187,486.11, 242,315,217,649.44 and 55,420,765,174.07
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Solution
The fourth proportional to 161,540,187,486.11, 242,315,217,649.44 and 55,420,765,174.07 is: 83,132,841,334.66
Step by Step Solution
- Step 1: Write the proportion equation
161,540,187,486.11 : 242,315,217,649.44 = 55,420,765,174.07 : x - Step 2: Convert to fraction form
161,540,187,486.11/242,315,217,649.44 = 55,420,765,174.07/x - Step 3: Cross multiply
161,540,187,486.11x = 242,315,217,649.44 × 55,420,765,174.07 - Step 4: Simplify right side
161,540,187,486.11x = 13,429,294,775,453,276,438,528 - Step 5: Solve for x
x = 13,429,294,775,453,276,438,528/161,540,187,486.11 - Step 6: Final answer
x = 83,132,841,334.66
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.