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Finding the Fourth Proportional to 133,628.46, 199,978.56 and 83,006.70

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Solution

The fourth proportional to 133,628.46, 199,978.56 and 83,006.70 is: 124,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,628.46 : 199,978.56 = 83,006.70 : x
  2. Step 2: Convert to fraction form
    133,628.46/199,978.56 = 83,006.70/x
  3. Step 3: Cross multiply
    133,628.46x = 199,978.56 × 83,006.70
  4. Step 4: Simplify right side
    133,628.46x = 16,599,560,336.35
  5. Step 5: Solve for x
    x = 16,599,560,336.35/133,628.46
  6. Step 6: Final answer
    x = 124,221.74

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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.