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Finding the Fourth Proportional to 225,189, 310,764.77 and 123,223.39

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Solution

The fourth proportional to 225,189, 310,764.77 and 123,223.39 is: 170,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,189 : 310,764.77 = 123,223.39 : x
  2. Step 2: Convert to fraction form
    225,189/310,764.77 = 123,223.39/x
  3. Step 3: Cross multiply
    225,189x = 310,764.77 × 123,223.39
  4. Step 4: Simplify right side
    225,189x = 38,293,489,269.08
  5. Step 5: Solve for x
    x = 38,293,489,269.08/225,189
  6. Step 6: Final answer
    x = 170,050.44

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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.