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Finding the Fourth Proportional to 204,548.52, 306,933.02 and 86,301.80

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Solution

The fourth proportional to 204,548.52, 306,933.02 and 86,301.80 is: 129,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,548.52 : 306,933.02 = 86,301.80 : x
  2. Step 2: Convert to fraction form
    204,548.52/306,933.02 = 86,301.80/x
  3. Step 3: Cross multiply
    204,548.52x = 306,933.02 × 86,301.80
  4. Step 4: Simplify right side
    204,548.52x = 26,488,872,105.44
  5. Step 5: Solve for x
    x = 26,488,872,105.44/204,548.52
  6. Step 6: Final answer
    x = 129,499.21

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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.