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Finding the Fourth Proportional to 77,202.73, 115,786.66 and 39,213.52

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Solution

The fourth proportional to 77,202.73, 115,786.66 and 39,213.52 is: 58,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,202.73 : 115,786.66 = 39,213.52 : x
  2. Step 2: Convert to fraction form
    77,202.73/115,786.66 = 39,213.52/x
  3. Step 3: Cross multiply
    77,202.73x = 115,786.66 × 39,213.52
  4. Step 4: Simplify right side
    77,202.73x = 4,540,402,311.58
  5. Step 5: Solve for x
    x = 4,540,402,311.58/77,202.73
  6. Step 6: Final answer
    x = 58,811.43

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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.