Finding the Fourth Proportional to 212,481,416,068.12, 293,223,642,288.30 and 116,137,446,726.28
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Solution
The fourth proportional to 212,481,416,068.12, 293,223,642,288.30 and 116,137,446,726.28 is: 160,269,287,381.94
Step by Step Solution
- Step 1: Write the proportion equation
212,481,416,068.12 : 293,223,642,288.30 = 116,137,446,726.28 : x - Step 2: Convert to fraction form
212,481,416,068.12/293,223,642,288.30 = 116,137,446,726.28/x - Step 3: Cross multiply
212,481,416,068.12x = 293,223,642,288.30 × 116,137,446,726.28 - Step 4: Simplify right side
212,481,416,068.12x = 34,054,245,135,143,221,067,776 - Step 5: Solve for x
x = 34,054,245,135,143,221,067,776/212,481,416,068.12 - Step 6: Final answer
x = 160,269,287,381.94
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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.