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Finding the Fourth Proportional to 230,397, 317,964.18 and 129,795

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Solution

The fourth proportional to 230,397, 317,964.18 and 129,795 is: 179,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,397 : 317,964.18 = 129,795 : x
  2. Step 2: Convert to fraction form
    230,397/317,964.18 = 129,795/x
  3. Step 3: Cross multiply
    230,397x = 317,964.18 × 129,795
  4. Step 4: Simplify right side
    230,397x = 41,270,160,743.10
  5. Step 5: Solve for x
    x = 41,270,160,743.10/230,397
  6. Step 6: Final answer
    x = 179,126.29

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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.