Finding the Fourth Proportional to 149,608,320,492.67, 206,459,593,590.20 and 81,020,266,026.14
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Solution
The fourth proportional to 149,608,320,492.67, 206,459,593,590.20 and 81,020,266,026.14 is: 111,808,027,396.09
Step by Step Solution
- Step 1: Write the proportion equation
149,608,320,492.67 : 206,459,593,590.20 = 81,020,266,026.14 : x - Step 2: Convert to fraction form
149,608,320,492.67/206,459,593,590.20 = 81,020,266,026.14/x - Step 3: Cross multiply
149,608,320,492.67x = 206,459,593,590.20 × 81,020,266,026.14 - Step 4: Simplify right side
149,608,320,492.67x = 16,727,411,196,326,754,385,920 - Step 5: Solve for x
x = 16,727,411,196,326,754,385,920/149,608,320,492.67 - Step 6: Final answer
x = 111,808,027,396.09
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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.