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Finding the Fourth Proportional to 232,910, 321,415.80 and 126,926

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Solution

The fourth proportional to 232,910, 321,415.80 and 126,926 is: 175,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,910 : 321,415.80 = 126,926 : x
  2. Step 2: Convert to fraction form
    232,910/321,415.80 = 126,926/x
  3. Step 3: Cross multiply
    232,910x = 321,415.80 × 126,926
  4. Step 4: Simplify right side
    232,910x = 40,796,021,830.80
  5. Step 5: Solve for x
    x = 40,796,021,830.80/232,910
  6. Step 6: Final answer
    x = 175,157.88

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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.