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Finding the Fourth Proportional to 166,422, 229,663.80 and 90,970.56

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Solution

The fourth proportional to 166,422, 229,663.80 and 90,970.56 is: 125,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,422 : 229,663.80 = 90,970.56 : x
  2. Step 2: Convert to fraction form
    166,422/229,663.80 = 90,970.56/x
  3. Step 3: Cross multiply
    166,422x = 229,663.80 × 90,970.56
  4. Step 4: Simplify right side
    166,422x = 20,892,644,497.73
  5. Step 5: Solve for x
    x = 20,892,644,497.73/166,422
  6. Step 6: Final answer
    x = 125,540.16

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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.