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Finding the Fourth Proportional to 231,738, 319,798.44 and 125,754

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Solution

The fourth proportional to 231,738, 319,798.44 and 125,754 is: 173,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,738 : 319,798.44 = 125,754 : x
  2. Step 2: Convert to fraction form
    231,738/319,798.44 = 125,754/x
  3. Step 3: Cross multiply
    231,738x = 319,798.44 × 125,754
  4. Step 4: Simplify right side
    231,738x = 40,215,933,023.76
  5. Step 5: Solve for x
    x = 40,215,933,023.76/231,738
  6. Step 6: Final answer
    x = 173,540.52

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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.