Finding the Fourth Proportional to 112,816,129,496.80, 169,224,194,245.20 and 106,395,069,503.20
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Solution
The fourth proportional to 112,816,129,496.80, 169,224,194,245.20 and 106,395,069,503.20 is: 159,592,604,254.80
Step by Step Solution
- Step 1: Write the proportion equation
112,816,129,496.80 : 169,224,194,245.20 = 106,395,069,503.20 : x - Step 2: Convert to fraction form
112,816,129,496.80/169,224,194,245.20 = 106,395,069,503.20/x - Step 3: Cross multiply
112,816,129,496.80x = 169,224,194,245.20 × 106,395,069,503.20 - Step 4: Simplify right side
112,816,129,496.80x = 18,004,619,908,341,072,658,432 - Step 5: Solve for x
x = 18,004,619,908,341,072,658,432/112,816,129,496.80 - Step 6: Final answer
x = 159,592,604,254.80
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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.