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Finding the Fourth Proportional to 13,873,940.80, 20,761,922.40 and 12,096,347.20

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Solution

The fourth proportional to 13,873,940.80, 20,761,922.40 and 12,096,347.20 is: 18,101,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873,940.80 : 20,761,922.40 = 12,096,347.20 : x
  2. Step 2: Convert to fraction form
    13,873,940.80/20,761,922.40 = 12,096,347.20/x
  3. Step 3: Cross multiply
    13,873,940.80x = 20,761,922.40 × 12,096,347.20
  4. Step 4: Simplify right side
    13,873,940.80x = 251,143,421,889,857.25
  5. Step 5: Solve for x
    x = 251,143,421,889,857.25/13,873,940.80
  6. Step 6: Final answer
    x = 18,101,808.67

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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.