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Finding the Fourth Proportional to 51,469.56, 77,204.40 and 20,304

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Solution

The fourth proportional to 51,469.56, 77,204.40 and 20,304 is: 30,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469.56 : 77,204.40 = 20,304 : x
  2. Step 2: Convert to fraction form
    51,469.56/77,204.40 = 20,304/x
  3. Step 3: Cross multiply
    51,469.56x = 77,204.40 × 20,304
  4. Step 4: Simplify right side
    51,469.56x = 1,567,558,137.60
  5. Step 5: Solve for x
    x = 1,567,558,137.60/51,469.56
  6. Step 6: Final answer
    x = 30,456.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.