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Finding the Fourth Proportional to 126,709.92, 174,865.80 and 73,003.20

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Solution

The fourth proportional to 126,709.92, 174,865.80 and 73,003.20 is: 100,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,709.92 : 174,865.80 = 73,003.20 : x
  2. Step 2: Convert to fraction form
    126,709.92/174,865.80 = 73,003.20/x
  3. Step 3: Cross multiply
    126,709.92x = 174,865.80 × 73,003.20
  4. Step 4: Simplify right side
    126,709.92x = 12,765,762,970.56
  5. Step 5: Solve for x
    x = 12,765,762,970.56/126,709.92
  6. Step 6: Final answer
    x = 100,747.94

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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.