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Finding the Fourth Proportional to 166,782, 230,164.02 and 91,335.36

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Solution

The fourth proportional to 166,782, 230,164.02 and 91,335.36 is: 126,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,782 : 230,164.02 = 91,335.36 : x
  2. Step 2: Convert to fraction form
    166,782/230,164.02 = 91,335.36/x
  3. Step 3: Cross multiply
    166,782x = 230,164.02 × 91,335.36
  4. Step 4: Simplify right side
    166,782x = 21,022,113,625.75
  5. Step 5: Solve for x
    x = 21,022,113,625.75/166,782
  6. Step 6: Final answer
    x = 126,045.46

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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.