Finding the Fourth Proportional to 157,031.69, 216,684.10 and 106,155.09
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Solution
The fourth proportional to 157,031.69, 216,684.10 and 106,155.09 is: 146,480.75
Step by Step Solution
- Step 1: Write the proportion equation
157,031.69 : 216,684.10 = 106,155.09 : x - Step 2: Convert to fraction form
157,031.69/216,684.10 = 106,155.09/x - Step 3: Cross multiply
157,031.69x = 216,684.10 × 106,155.09 - Step 4: Simplify right side
157,031.69x = 23,002,119,871.68 - Step 5: Solve for x
x = 23,002,119,871.68/157,031.69 - Step 6: Final answer
x = 146,480.75
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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.