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Finding the Fourth Proportional to 225,967.22, 311,822.76 and 123,991.05

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Solution

The fourth proportional to 225,967.22, 311,822.76 and 123,991.05 is: 171,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,967.22 : 311,822.76 = 123,991.05 : x
  2. Step 2: Convert to fraction form
    225,967.22/311,822.76 = 123,991.05/x
  3. Step 3: Cross multiply
    225,967.22x = 311,822.76 × 123,991.05
  4. Step 4: Simplify right side
    225,967.22x = 38,663,233,060.60
  5. Step 5: Solve for x
    x = 38,663,233,060.60/225,967.22
  6. Step 6: Final answer
    x = 171,101.07

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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.