Finding the Fourth Proportional to 97,971.46, 135,199.10 and 54,950.94
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Solution
The fourth proportional to 97,971.46, 135,199.10 and 54,950.94 is: 75,831.45
Step by Step Solution
- Step 1: Write the proportion equation
97,971.46 : 135,199.10 = 54,950.94 : x - Step 2: Convert to fraction form
97,971.46/135,199.10 = 54,950.94/x - Step 3: Cross multiply
97,971.46x = 135,199.10 × 54,950.94 - Step 4: Simplify right side
97,971.46x = 7,429,317,632.15 - Step 5: Solve for x
x = 7,429,317,632.15/97,971.46 - Step 6: Final answer
x = 75,831.45
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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.