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Finding the Fourth Proportional to 138,708.75, 191,243.81 and 113,189.20

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Solution

The fourth proportional to 138,708.75, 191,243.81 and 113,189.20 is: 156,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,708.75 : 191,243.81 = 113,189.20 : x
  2. Step 2: Convert to fraction form
    138,708.75/191,243.81 = 113,189.20/x
  3. Step 3: Cross multiply
    138,708.75x = 191,243.81 × 113,189.20
  4. Step 4: Simplify right side
    138,708.75x = 21,646,733,027.03
  5. Step 5: Solve for x
    x = 21,646,733,027.03/138,708.75
  6. Step 6: Final answer
    x = 156,058.88

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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.