Finding the Fourth Proportional to 140,817,686,861.26, 194,378,955,175.75 and 83,724,861,151.53
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Solution
The fourth proportional to 140,817,686,861.26, 194,378,955,175.75 and 83,724,861,151.53 is: 115,570,361,902.78
Step by Step Solution
- Step 1: Write the proportion equation
140,817,686,861.26 : 194,378,955,175.75 = 83,724,861,151.53 : x - Step 2: Convert to fraction form
140,817,686,861.26/194,378,955,175.75 = 83,724,861,151.53/x - Step 3: Cross multiply
140,817,686,861.26x = 194,378,955,175.75 × 83,724,861,151.53 - Step 4: Simplify right side
140,817,686,861.26x = 16,274,351,032,868,754,423,808 - Step 5: Solve for x
x = 16,274,351,032,868,754,423,808/140,817,686,861.26 - Step 6: Final answer
x = 115,570,361,902.78
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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.