Finding the Fourth Proportional to 97,784.21, 146,675.08 and 31,223.50
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Solution
The fourth proportional to 97,784.21, 146,675.08 and 31,223.50 is: 46,834.85
Step by Step Solution
- Step 1: Write the proportion equation
97,784.21 : 146,675.08 = 31,223.50 : x - Step 2: Convert to fraction form
97,784.21/146,675.08 = 31,223.50/x - Step 3: Cross multiply
97,784.21x = 146,675.08 × 31,223.50 - Step 4: Simplify right side
97,784.21x = 4,579,708,470.89 - Step 5: Solve for x
x = 4,579,708,470.89/97,784.21 - Step 6: Final answer
x = 46,834.85
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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.