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Finding the Fourth Proportional to 133,865.82, 200,860.02 and 57,987.56

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Solution

The fourth proportional to 133,865.82, 200,860.02 and 57,987.56 is: 87,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,865.82 : 200,860.02 = 57,987.56 : x
  2. Step 2: Convert to fraction form
    133,865.82/200,860.02 = 57,987.56/x
  3. Step 3: Cross multiply
    133,865.82x = 200,860.02 × 57,987.56
  4. Step 4: Simplify right side
    133,865.82x = 11,647,382,461.35
  5. Step 5: Solve for x
    x = 11,647,382,461.35/133,865.82
  6. Step 6: Final answer
    x = 87,007.89

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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.