Finding the Fourth Proportional to 97,643.57, 134,507.16 and 83,256.53
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Solution
The fourth proportional to 97,643.57, 134,507.16 and 83,256.53 is: 114,688.55
Step by Step Solution
- Step 1: Write the proportion equation
97,643.57 : 134,507.16 = 83,256.53 : x - Step 2: Convert to fraction form
97,643.57/134,507.16 = 83,256.53/x - Step 3: Cross multiply
97,643.57x = 134,507.16 × 83,256.53 - Step 4: Simplify right side
97,643.57x = 11,198,598,729.22 - Step 5: Solve for x
x = 11,198,598,729.22/97,643.57 - Step 6: Final answer
x = 114,688.55
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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.