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Finding the Fourth Proportional to 225,668.43, 311,430.02 and 123,703.20

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Solution

The fourth proportional to 225,668.43, 311,430.02 and 123,703.20 is: 170,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,668.43 : 311,430.02 = 123,703.20 : x
  2. Step 2: Convert to fraction form
    225,668.43/311,430.02 = 123,703.20/x
  3. Step 3: Cross multiply
    225,668.43x = 311,430.02 × 123,703.20
  4. Step 4: Simplify right side
    225,668.43x = 38,524,889,431.55
  5. Step 5: Solve for x
    x = 38,524,889,431.55/225,668.43
  6. Step 6: Final answer
    x = 170,714.57

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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.