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Finding the Fourth Proportional to 129,122.90, 178,189.41 and 71,760.41

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Solution

The fourth proportional to 129,122.90, 178,189.41 and 71,760.41 is: 99,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,122.90 : 178,189.41 = 71,760.41 : x
  2. Step 2: Convert to fraction form
    129,122.90/178,189.41 = 71,760.41/x
  3. Step 3: Cross multiply
    129,122.90x = 178,189.41 × 71,760.41
  4. Step 4: Simplify right side
    129,122.90x = 12,786,945,564.73
  5. Step 5: Solve for x
    x = 12,786,945,564.73/129,122.90
  6. Step 6: Final answer
    x = 99,029.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.