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Finding the Fourth Proportional to 225,999, 311,888.34 and 125,397

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Solution

The fourth proportional to 225,999, 311,888.34 and 125,397 is: 173,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,999 : 311,888.34 = 125,397 : x
  2. Step 2: Convert to fraction form
    225,999/311,888.34 = 125,397/x
  3. Step 3: Cross multiply
    225,999x = 311,888.34 × 125,397
  4. Step 4: Simplify right side
    225,999x = 39,109,862,170.98
  5. Step 5: Solve for x
    x = 39,109,862,170.98/225,999
  6. Step 6: Final answer
    x = 173,053.25

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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.