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Finding the Fourth Proportional to 166,868, 230,277.84 and 99,800

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Solution

The fourth proportional to 166,868, 230,277.84 and 99,800 is: 137,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,868 : 230,277.84 = 99,800 : x
  2. Step 2: Convert to fraction form
    166,868/230,277.84 = 99,800/x
  3. Step 3: Cross multiply
    166,868x = 230,277.84 × 99,800
  4. Step 4: Simplify right side
    166,868x = 22,981,728,432
  5. Step 5: Solve for x
    x = 22,981,728,432/166,868
  6. Step 6: Final answer
    x = 137,724

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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.