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Finding the Fourth Proportional to 13,401,157.78, 20,103,978.79 and 10,522,408.46

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Solution

The fourth proportional to 13,401,157.78, 20,103,978.79 and 10,522,408.46 is: 15,785,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401,157.78 : 20,103,978.79 = 10,522,408.46 : x
  2. Step 2: Convert to fraction form
    13,401,157.78/20,103,978.79 = 10,522,408.46/x
  3. Step 3: Cross multiply
    13,401,157.78x = 20,103,978.79 × 10,522,408.46
  4. Step 4: Simplify right side
    13,401,157.78x = 211,542,276,499,556.56
  5. Step 5: Solve for x
    x = 211,542,276,499,556.56/13,401,157.78
  6. Step 6: Final answer
    x = 15,785,373.17

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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.