Finding the Fourth Proportional to 180,116,372.16, 248,560,806.20 and 97,610,156.91
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Solution
The fourth proportional to 180,116,372.16, 248,560,806.20 and 97,610,156.91 is: 134,702,131.76
Step by Step Solution
- Step 1: Write the proportion equation
180,116,372.16 : 248,560,806.20 = 97,610,156.91 : x - Step 2: Convert to fraction form
180,116,372.16/248,560,806.20 = 97,610,156.91/x - Step 3: Cross multiply
180,116,372.16x = 248,560,806.20 × 97,610,156.91 - Step 4: Simplify right side
180,116,372.16x = 24,262,059,294,370,048 - Step 5: Solve for x
x = 24,262,059,294,370,048/180,116,372.16 - Step 6: Final answer
x = 134,702,131.76
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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.