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Finding the Fourth Proportional to 231,712.92, 319,761.36 and 129,739.32

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Solution

The fourth proportional to 231,712.92, 319,761.36 and 129,739.32 is: 179,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,712.92 : 319,761.36 = 129,739.32 : x
  2. Step 2: Convert to fraction form
    231,712.92/319,761.36 = 129,739.32/x
  3. Step 3: Cross multiply
    231,712.92x = 319,761.36 × 129,739.32
  4. Step 4: Simplify right side
    231,712.92x = 41,485,621,408.68
  5. Step 5: Solve for x
    x = 41,485,621,408.68/231,712.92
  6. Step 6: Final answer
    x = 179,038.88

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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.