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Finding the Fourth Proportional to 225,707.26, 311,473.74 and 123,738.34

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Solution

The fourth proportional to 225,707.26, 311,473.74 and 123,738.34 is: 170,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,707.26 : 311,473.74 = 123,738.34 : x
  2. Step 2: Convert to fraction form
    225,707.26/311,473.74 = 123,738.34/x
  3. Step 3: Cross multiply
    225,707.26x = 311,473.74 × 123,738.34
  4. Step 4: Simplify right side
    225,707.26x = 38,541,243,541.19
  5. Step 5: Solve for x
    x = 38,541,243,541.19/225,707.26
  6. Step 6: Final answer
    x = 170,757.66

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1.5x scale

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.