Finding the Fourth Proportional to 216,142.84, 324,210.12 and 97,731.46
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Solution
The fourth proportional to 216,142.84, 324,210.12 and 97,731.46 is: 146,595.32
Step by Step Solution
- Step 1: Write the proportion equation
216,142.84 : 324,210.12 = 97,731.46 : x - Step 2: Convert to fraction form
216,142.84/324,210.12 = 97,731.46/x - Step 3: Cross multiply
216,142.84x = 324,210.12 × 97,731.46 - Step 4: Simplify right side
216,142.84x = 31,685,528,374.38 - Step 5: Solve for x
x = 31,685,528,374.38/216,142.84 - Step 6: Final answer
x = 146,595.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.