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Finding the Fourth Proportional to 231,708.66, 319,742.37 and 129,716.88

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Solution

The fourth proportional to 231,708.66, 319,742.37 and 129,716.88 is: 179,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,708.66 : 319,742.37 = 129,716.88 : x
  2. Step 2: Convert to fraction form
    231,708.66/319,742.37 = 129,716.88/x
  3. Step 3: Cross multiply
    231,708.66x = 319,742.37 × 129,716.88
  4. Step 4: Simplify right side
    231,708.66x = 41,475,982,640.21
  5. Step 5: Solve for x
    x = 41,475,982,640.21/231,708.66
  6. Step 6: Final answer
    x = 179,000.57

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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.