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Finding the Fourth Proportional to 126,301.80, 189,453.63 and 86,738.97

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Solution

The fourth proportional to 126,301.80, 189,453.63 and 86,738.97 is: 130,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,301.80 : 189,453.63 = 86,738.97 : x
  2. Step 2: Convert to fraction form
    126,301.80/189,453.63 = 86,738.97/x
  3. Step 3: Cross multiply
    126,301.80x = 189,453.63 × 86,738.97
  4. Step 4: Simplify right side
    126,301.80x = 16,433,012,728.96
  5. Step 5: Solve for x
    x = 16,433,012,728.96/126,301.80
  6. Step 6: Final answer
    x = 130,109.09

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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.