Finding the Fourth Proportional to 97,758.53, 146,644.47 and 31,203.70
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Solution
The fourth proportional to 97,758.53, 146,644.47 and 31,203.70 is: 46,807.68
Step by Step Solution
- Step 1: Write the proportion equation
97,758.53 : 146,644.47 = 31,203.70 : x - Step 2: Convert to fraction form
97,758.53/146,644.47 = 31,203.70/x - Step 3: Cross multiply
97,758.53x = 146,644.47 × 31,203.70 - Step 4: Simplify right side
97,758.53x = 4,575,849,681.93 - Step 5: Solve for x
x = 4,575,849,681.93/97,758.53 - Step 6: Final answer
x = 46,807.68
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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.