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Finding the Fourth Proportional to 126,189.82, 174,130.72 and 72,469.81

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Solution

The fourth proportional to 126,189.82, 174,130.72 and 72,469.81 is: 100,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,189.82 : 174,130.72 = 72,469.81 : x
  2. Step 2: Convert to fraction form
    126,189.82/174,130.72 = 72,469.81/x
  3. Step 3: Cross multiply
    126,189.82x = 174,130.72 × 72,469.81
  4. Step 4: Simplify right side
    126,189.82x = 12,619,220,193.56
  5. Step 5: Solve for x
    x = 12,619,220,193.56/126,189.82
  6. Step 6: Final answer
    x = 100,001.89

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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.