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Finding the Fourth Proportional to 229,728, 317,044.08 and 129,145.44

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Solution

The fourth proportional to 229,728, 317,044.08 and 129,145.44 is: 178,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,728 : 317,044.08 = 129,145.44 : x
  2. Step 2: Convert to fraction form
    229,728/317,044.08 = 129,145.44/x
  3. Step 3: Cross multiply
    229,728x = 317,044.08 × 129,145.44
  4. Step 4: Simplify right side
    229,728x = 40,944,797,211.00
  5. Step 5: Solve for x
    x = 40,944,797,211.00/229,728
  6. Step 6: Final answer
    x = 178,231.64

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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.