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Finding the Fourth Proportional to 71,786.20, 107,630.70 and 38,057.80

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Solution

The fourth proportional to 71,786.20, 107,630.70 and 38,057.80 is: 57,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.20 : 107,630.70 = 38,057.80 : x
  2. Step 2: Convert to fraction form
    71,786.20/107,630.70 = 38,057.80/x
  3. Step 3: Cross multiply
    71,786.20x = 107,630.70 × 38,057.80
  4. Step 4: Simplify right side
    71,786.20x = 4,096,187,654.46
  5. Step 5: Solve for x
    x = 4,096,187,654.46/71,786.20
  6. Step 6: Final answer
    x = 57,060.93

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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.