Finding the Fourth Proportional to 97,967.49, 135,206.46 and 55,533.75
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Solution
The fourth proportional to 97,967.49, 135,206.46 and 55,533.75 is: 76,642.99
Step by Step Solution
- Step 1: Write the proportion equation
97,967.49 : 135,206.46 = 55,533.75 : x - Step 2: Convert to fraction form
97,967.49/135,206.46 = 55,533.75/x - Step 3: Cross multiply
97,967.49x = 135,206.46 × 55,533.75 - Step 4: Simplify right side
97,967.49x = 7,508,521,748.03 - Step 5: Solve for x
x = 7,508,521,748.03/97,967.49 - Step 6: Final answer
x = 76,642.99
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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.