Finding the Fourth Proportional to 97,285.81, 145,929.12 and 27,164.92
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Solution
The fourth proportional to 97,285.81, 145,929.12 and 27,164.92 is: 40,747.49
Step by Step Solution
- Step 1: Write the proportion equation
97,285.81 : 145,929.12 = 27,164.92 : x - Step 2: Convert to fraction form
97,285.81/145,929.12 = 27,164.92/x - Step 3: Cross multiply
97,285.81x = 145,929.12 × 27,164.92 - Step 4: Simplify right side
97,285.81x = 3,964,152,870.47 - Step 5: Solve for x
x = 3,964,152,870.47/97,285.81 - Step 6: Final answer
x = 40,747.49
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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.