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Finding the Fourth Proportional to 51,401, 77,107.62 and 18,114.14

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Solution

The fourth proportional to 51,401, 77,107.62 and 18,114.14 is: 27,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,401 : 77,107.62 = 18,114.14 : x
  2. Step 2: Convert to fraction form
    51,401/77,107.62 = 18,114.14/x
  3. Step 3: Cross multiply
    51,401x = 77,107.62 × 18,114.14
  4. Step 4: Simplify right side
    51,401x = 1,396,738,223.75
  5. Step 5: Solve for x
    x = 1,396,738,223.75/51,401
  6. Step 6: Final answer
    x = 27,173.37

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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.