Finding the Fourth Proportional to 223,002.24, 307,742.64 and 122,398.08
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Solution
The fourth proportional to 223,002.24, 307,742.64 and 122,398.08 is: 168,909.10
Step by Step Solution
- Step 1: Write the proportion equation
223,002.24 : 307,742.64 = 122,398.08 : x - Step 2: Convert to fraction form
223,002.24/307,742.64 = 122,398.08/x - Step 3: Cross multiply
223,002.24x = 307,742.64 × 122,398.08 - Step 4: Simplify right side
223,002.24x = 37,667,108,270.13 - Step 5: Solve for x
x = 37,667,108,270.13/223,002.24 - Step 6: Final answer
x = 168,909.10
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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.