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Finding the Fourth Proportional to 13,409,871.20, 20,114,806.80 and 5,324,775.20

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Solution

The fourth proportional to 13,409,871.20, 20,114,806.80 and 5,324,775.20 is: 7,987,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409,871.20 : 20,114,806.80 = 5,324,775.20 : x
  2. Step 2: Convert to fraction form
    13,409,871.20/20,114,806.80 = 5,324,775.20/x
  3. Step 3: Cross multiply
    13,409,871.20x = 20,114,806.80 × 5,324,775.20
  4. Step 4: Simplify right side
    13,409,871.20x = 107,106,824,401,431.38
  5. Step 5: Solve for x
    x = 107,106,824,401,431.38/13,409,871.20
  6. Step 6: Final answer
    x = 7,987,162.80

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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.