Finding the Fourth Proportional to 186,156,108.99, 256,887,140.13 and 106,714,218.78
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Solution
The fourth proportional to 186,156,108.99, 256,887,140.13 and 106,714,218.78 is: 147,260,869.51
Step by Step Solution
- Step 1: Write the proportion equation
186,156,108.99 : 256,887,140.13 = 106,714,218.78 : x - Step 2: Convert to fraction form
186,156,108.99/256,887,140.13 = 106,714,218.78/x - Step 3: Cross multiply
186,156,108.99x = 256,887,140.13 × 106,714,218.78 - Step 4: Simplify right side
186,156,108.99x = 27,413,510,473,601,336 - Step 5: Solve for x
x = 27,413,510,473,601,336/186,156,108.99 - Step 6: Final answer
x = 147,260,869.51
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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.