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Finding the Fourth Proportional to 51,179, 76,757.91 and 13,730.20

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Solution

The fourth proportional to 51,179, 76,757.91 and 13,730.20 is: 20,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,179 : 76,757.91 = 13,730.20 : x
  2. Step 2: Convert to fraction form
    51,179/76,757.91 = 13,730.20/x
  3. Step 3: Cross multiply
    51,179x = 76,757.91 × 13,730.20
  4. Step 4: Simplify right side
    51,179x = 1,053,901,072.09
  5. Step 5: Solve for x
    x = 1,053,901,072.09/51,179
  6. Step 6: Final answer
    x = 20,592.45

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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.