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Finding the Fourth Proportional to 133,007, 199,548 and 54,177.80

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Solution

The fourth proportional to 133,007, 199,548 and 54,177.80 is: 81,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,007 : 199,548 = 54,177.80 : x
  2. Step 2: Convert to fraction form
    133,007/199,548 = 54,177.80/x
  3. Step 3: Cross multiply
    133,007x = 199,548 × 54,177.80
  4. Step 4: Simplify right side
    133,007x = 10,811,071,634.40
  5. Step 5: Solve for x
    x = 10,811,071,634.40/133,007
  6. Step 6: Final answer
    x = 81,281.97

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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.