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Finding the Fourth Proportional to 166,081, 229,191.78 and 99,013

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Solution

The fourth proportional to 166,081, 229,191.78 and 99,013 is: 136,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,081 : 229,191.78 = 99,013 : x
  2. Step 2: Convert to fraction form
    166,081/229,191.78 = 99,013/x
  3. Step 3: Cross multiply
    166,081x = 229,191.78 × 99,013
  4. Step 4: Simplify right side
    166,081x = 22,692,965,713.14
  5. Step 5: Solve for x
    x = 22,692,965,713.14/166,081
  6. Step 6: Final answer
    x = 136,637.94

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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.