Finding the Fourth Proportional to 194,223,112.98, 268,024,767.94 and 106,115,218.80
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Solution
The fourth proportional to 194,223,112.98, 268,024,767.94 and 106,115,218.80 is: 146,437,292.95
Step by Step Solution
- Step 1: Write the proportion equation
194,223,112.98 : 268,024,767.94 = 106,115,218.80 : x - Step 2: Convert to fraction form
194,223,112.98/268,024,767.94 = 106,115,218.80/x - Step 3: Cross multiply
194,223,112.98x = 268,024,767.94 × 106,115,218.80 - Step 4: Simplify right side
194,223,112.98x = 28,441,506,893,772,324 - Step 5: Solve for x
x = 28,441,506,893,772,324/194,223,112.98 - Step 6: Final answer
x = 146,437,292.95
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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.