Finding the Fourth Proportional to 207,121,202,109.49, 285,785,804,652.34 and 115,655,679,613.88
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Solution
The fourth proportional to 207,121,202,109.49, 285,785,804,652.34 and 115,655,679,613.88 is: 159,581,689,969.11
Step by Step Solution
- Step 1: Write the proportion equation
207,121,202,109.49 : 285,785,804,652.34 = 115,655,679,613.88 : x - Step 2: Convert to fraction form
207,121,202,109.49/285,785,804,652.34 = 115,655,679,613.88/x - Step 3: Cross multiply
207,121,202,109.49x = 285,785,804,652.34 × 115,655,679,613.88 - Step 4: Simplify right side
207,121,202,109.49x = 33,052,751,461,065,934,503,936 - Step 5: Solve for x
x = 33,052,751,461,065,934,503,936/207,121,202,109.49 - Step 6: Final answer
x = 159,581,689,969.11
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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.