Finding the Fourth Proportional to 126,426,164,518.49, 189,563,514,513.55 and 40,239,186,951.11
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Solution
The fourth proportional to 126,426,164,518.49, 189,563,514,513.55 and 40,239,186,951.11 is: 60,334,676,201.49
Step by Step Solution
- Step 1: Write the proportion equation
126,426,164,518.49 : 189,563,514,513.55 = 40,239,186,951.11 : x - Step 2: Convert to fraction form
126,426,164,518.49/189,563,514,513.55 = 40,239,186,951.11/x - Step 3: Cross multiply
126,426,164,518.49x = 189,563,514,513.55 × 40,239,186,951.11 - Step 4: Simplify right side
126,426,164,518.49x = 7,627,881,699,619,244,081,152 - Step 5: Solve for x
x = 7,627,881,699,619,244,081,152/126,426,164,518.49 - Step 6: Final answer
x = 60,334,676,201.49
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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.