Finding the Fourth Proportional to 180,346,425.12, 248,878,156.77 and 97,840,188
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Solution
The fourth proportional to 180,346,425.12, 248,878,156.77 and 97,840,188 is: 135,019,508.32
Step by Step Solution
- Step 1: Write the proportion equation
180,346,425.12 : 248,878,156.77 = 97,840,188 : x - Step 2: Convert to fraction form
180,346,425.12/248,878,156.77 = 97,840,188/x - Step 3: Cross multiply
180,346,425.12x = 248,878,156.77 × 97,840,188 - Step 4: Simplify right side
180,346,425.12x = 24,350,285,647,470,272 - Step 5: Solve for x
x = 24,350,285,647,470,272/180,346,425.12 - Step 6: Final answer
x = 135,019,508.32
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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.