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Finding the Fourth Proportional to 231,695.76, 319,770 and 129,759.96

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Solution

The fourth proportional to 231,695.76, 319,770 and 129,759.96 is: 179,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,695.76 : 319,770 = 129,759.96 : x
  2. Step 2: Convert to fraction form
    231,695.76/319,770 = 129,759.96/x
  3. Step 3: Cross multiply
    231,695.76x = 319,770 × 129,759.96
  4. Step 4: Simplify right side
    231,695.76x = 41,493,342,409.20
  5. Step 5: Solve for x
    x = 41,493,342,409.20/231,695.76
  6. Step 6: Final answer
    x = 179,085.46

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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.