Finding the Fourth Proportional to 207,121,202,108.74, 285,785,804,651.31 and 115,655,679,613.13
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Solution
The fourth proportional to 207,121,202,108.74, 285,785,804,651.31 and 115,655,679,613.13 is: 159,581,689,968.08
Step by Step Solution
- Step 1: Write the proportion equation
207,121,202,108.74 : 285,785,804,651.31 = 115,655,679,613.13 : x - Step 2: Convert to fraction form
207,121,202,108.74/285,785,804,651.31 = 115,655,679,613.13/x - Step 3: Cross multiply
207,121,202,108.74x = 285,785,804,651.31 × 115,655,679,613.13 - Step 4: Simplify right side
207,121,202,108.74x = 33,052,751,460,732,466,364,416 - Step 5: Solve for x
x = 33,052,751,460,732,466,364,416/207,121,202,108.74 - Step 6: Final answer
x = 159,581,689,968.08
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1.5x scale
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.