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Finding the Fourth Proportional to 231,469, 319,429.14 and 125,485

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Solution

The fourth proportional to 231,469, 319,429.14 and 125,485 is: 173,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,469 : 319,429.14 = 125,485 : x
  2. Step 2: Convert to fraction form
    231,469/319,429.14 = 125,485/x
  3. Step 3: Cross multiply
    231,469x = 319,429.14 × 125,485
  4. Step 4: Simplify right side
    231,469x = 40,083,565,632.90
  5. Step 5: Solve for x
    x = 40,083,565,632.90/231,469
  6. Step 6: Final answer
    x = 173,170.34

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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.