Finding the Fourth Proportional to 140,471,919,418.12, 193,851,392,264.20 and 76,242,656,968.44
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Solution
The fourth proportional to 140,471,919,418.12, 193,851,392,264.20 and 76,242,656,968.44 is: 105,214,944,484.82
Step by Step Solution
- Step 1: Write the proportion equation
140,471,919,418.12 : 193,851,392,264.20 = 76,242,656,968.44 : x - Step 2: Convert to fraction form
140,471,919,418.12/193,851,392,264.20 = 76,242,656,968.44/x - Step 3: Cross multiply
140,471,919,418.12x = 193,851,392,264.20 × 76,242,656,968.44 - Step 4: Simplify right side
140,471,919,418.12x = 14,779,745,203,253,904,670,720 - Step 5: Solve for x
x = 14,779,745,203,253,904,670,720/140,471,919,418.12 - Step 6: Final answer
x = 105,214,944,484.82
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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.