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Finding the Fourth Proportional to 225,205.50, 310,781.98 and 123,229.03

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Solution

The fourth proportional to 225,205.50, 310,781.98 and 123,229.03 is: 170,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,205.50 : 310,781.98 = 123,229.03 : x
  2. Step 2: Convert to fraction form
    225,205.50/310,781.98 = 123,229.03/x
  3. Step 3: Cross multiply
    225,205.50x = 310,781.98 × 123,229.03
  4. Step 4: Simplify right side
    225,205.50x = 38,297,361,936.88
  5. Step 5: Solve for x
    x = 38,297,361,936.88/225,205.50
  6. Step 6: Final answer
    x = 170,055.18

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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.