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Finding the Fourth Proportional to 76,611.48, 115,024.86 and 39,198.38

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Solution

The fourth proportional to 76,611.48, 115,024.86 and 39,198.38 is: 58,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,611.48 : 115,024.86 = 39,198.38 : x
  2. Step 2: Convert to fraction form
    76,611.48/115,024.86 = 39,198.38/x
  3. Step 3: Cross multiply
    76,611.48x = 115,024.86 × 39,198.38
  4. Step 4: Simplify right side
    76,611.48x = 4,508,788,171.73
  5. Step 5: Solve for x
    x = 4,508,788,171.73/76,611.48
  6. Step 6: Final answer
    x = 58,852.64

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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.