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Finding the Fourth Proportional to 231,714.75, 319,738.28 and 129,732.21

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Solution

The fourth proportional to 231,714.75, 319,738.28 and 129,732.21 is: 179,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,714.75 : 319,738.28 = 129,732.21 : x
  2. Step 2: Convert to fraction form
    231,714.75/319,738.28 = 129,732.21/x
  3. Step 3: Cross multiply
    231,714.75x = 319,738.28 × 129,732.21
  4. Step 4: Simplify right side
    231,714.75x = 41,480,353,037.34
  5. Step 5: Solve for x
    x = 41,480,353,037.34/231,714.75
  6. Step 6: Final answer
    x = 179,014.73

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1.5x scale

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.