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Finding the Fourth Proportional to 133,429.80, 200,143.58 and 54,488.66

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Solution

The fourth proportional to 133,429.80, 200,143.58 and 54,488.66 is: 81,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,429.80 : 200,143.58 = 54,488.66 : x
  2. Step 2: Convert to fraction form
    133,429.80/200,143.58 = 54,488.66/x
  3. Step 3: Cross multiply
    133,429.80x = 200,143.58 × 54,488.66
  4. Step 4: Simplify right side
    133,429.80x = 10,905,555,481.80
  5. Step 5: Solve for x
    x = 10,905,555,481.80/133,429.80
  6. Step 6: Final answer
    x = 81,732.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.