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Finding the Fourth Proportional to 229,638, 316,930.14 and 129,036

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Solution

The fourth proportional to 229,638, 316,930.14 and 129,036 is: 178,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,638 : 316,930.14 = 129,036 : x
  2. Step 2: Convert to fraction form
    229,638/316,930.14 = 129,036/x
  3. Step 3: Cross multiply
    229,638x = 316,930.14 × 129,036
  4. Step 4: Simplify right side
    229,638x = 40,895,397,545.04
  5. Step 5: Solve for x
    x = 40,895,397,545.04/229,638
  6. Step 6: Final answer
    x = 178,086.37

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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.