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Finding the Fourth Proportional to 166,086, 229,201.92 and 99,018

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Solution

The fourth proportional to 166,086, 229,201.92 and 99,018 is: 136,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,086 : 229,201.92 = 99,018 : x
  2. Step 2: Convert to fraction form
    166,086/229,201.92 = 99,018/x
  3. Step 3: Cross multiply
    166,086x = 229,201.92 × 99,018
  4. Step 4: Simplify right side
    166,086x = 22,695,115,714.56
  5. Step 5: Solve for x
    x = 22,695,115,714.56/166,086
  6. Step 6: Final answer
    x = 136,646.77

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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.