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Finding the Fourth Proportional to 73,821.70, 110,732.55 and 51,271.30

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Solution

The fourth proportional to 73,821.70, 110,732.55 and 51,271.30 is: 76,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.70 : 110,732.55 = 51,271.30 : x
  2. Step 2: Convert to fraction form
    73,821.70/110,732.55 = 51,271.30/x
  3. Step 3: Cross multiply
    73,821.70x = 110,732.55 × 51,271.30
  4. Step 4: Simplify right side
    73,821.70x = 5,677,401,790.82
  5. Step 5: Solve for x
    x = 5,677,401,790.82/73,821.70
  6. Step 6: Final answer
    x = 76,906.95

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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.