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Finding the Fourth Proportional to 231,714.02, 319,756.49 and 129,729.94

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Solution

The fourth proportional to 231,714.02, 319,756.49 and 129,729.94 is: 179,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,714.02 : 319,756.49 = 129,729.94 : x
  2. Step 2: Convert to fraction form
    231,714.02/319,756.49 = 129,729.94/x
  3. Step 3: Cross multiply
    231,714.02x = 319,756.49 × 129,729.94
  4. Step 4: Simplify right side
    231,714.02x = 41,481,988,261.41
  5. Step 5: Solve for x
    x = 41,481,988,261.41/231,714.02
  6. Step 6: Final answer
    x = 179,022.35

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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.