Finding the Fourth Proportional to 135,970,167,179.20, 203,955,250,768.80 and 77,197,044,107.20
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Solution
The fourth proportional to 135,970,167,179.20, 203,955,250,768.80 and 77,197,044,107.20 is: 115,795,566,160.80
Step by Step Solution
- Step 1: Write the proportion equation
135,970,167,179.20 : 203,955,250,768.80 = 77,197,044,107.20 : x - Step 2: Convert to fraction form
135,970,167,179.20/203,955,250,768.80 = 77,197,044,107.20/x - Step 3: Cross multiply
135,970,167,179.20x = 203,955,250,768.80 × 77,197,044,107.20 - Step 4: Simplify right side
135,970,167,179.20x = 15,744,742,489,494,088,843,264 - Step 5: Solve for x
x = 15,744,742,489,494,088,843,264/135,970,167,179.20 - Step 6: Final answer
x = 115,795,566,160.80
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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.