Finding the Fourth Proportional to 120,263.08, 165,976.14 and 77,288.80
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Solution
The fourth proportional to 120,263.08, 165,976.14 and 77,288.80 is: 106,666.96
Step by Step Solution
- Step 1: Write the proportion equation
120,263.08 : 165,976.14 = 77,288.80 : x - Step 2: Convert to fraction form
120,263.08/165,976.14 = 77,288.80/x - Step 3: Cross multiply
120,263.08x = 165,976.14 × 77,288.80 - Step 4: Simplify right side
120,263.08x = 12,828,096,689.23 - Step 5: Solve for x
x = 12,828,096,689.23/120,263.08 - Step 6: Final answer
x = 106,666.96
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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.