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Finding the Fourth Proportional to 12,481,973.20, 18,722,959.80 and 10,214,491.60

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Solution

The fourth proportional to 12,481,973.20, 18,722,959.80 and 10,214,491.60 is: 15,321,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481,973.20 : 18,722,959.80 = 10,214,491.60 : x
  2. Step 2: Convert to fraction form
    12,481,973.20/18,722,959.80 = 10,214,491.60/x
  3. Step 3: Cross multiply
    12,481,973.20x = 18,722,959.80 × 10,214,491.60
  4. Step 4: Simplify right side
    12,481,973.20x = 191,245,515,604,237.69
  5. Step 5: Solve for x
    x = 191,245,515,604,237.69/12,481,973.20
  6. Step 6: Final answer
    x = 15,321,737.40

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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.