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Finding the Fourth Proportional to 166,810, 230,197.80 and 91,361.20

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Solution

The fourth proportional to 166,810, 230,197.80 and 91,361.20 is: 126,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,810 : 230,197.80 = 91,361.20 : x
  2. Step 2: Convert to fraction form
    166,810/230,197.80 = 91,361.20/x
  3. Step 3: Cross multiply
    166,810x = 230,197.80 × 91,361.20
  4. Step 4: Simplify right side
    166,810x = 21,031,147,245.36
  5. Step 5: Solve for x
    x = 21,031,147,245.36/166,810
  6. Step 6: Final answer
    x = 126,078.46

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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.