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Finding the Fourth Proportional to 225,405, 311,058.90 and 124,809.48

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Solution

The fourth proportional to 225,405, 311,058.90 and 124,809.48 is: 172,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,405 : 311,058.90 = 124,809.48 : x
  2. Step 2: Convert to fraction form
    225,405/311,058.90 = 124,809.48/x
  3. Step 3: Cross multiply
    225,405x = 311,058.90 × 124,809.48
  4. Step 4: Simplify right side
    225,405x = 38,823,099,558.37
  5. Step 5: Solve for x
    x = 38,823,099,558.37/225,405
  6. Step 6: Final answer
    x = 172,237.08

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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.