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Finding the Fourth Proportional to 76,103.80, 114,156.49 and 33,986.03

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Solution

The fourth proportional to 76,103.80, 114,156.49 and 33,986.03 is: 50,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,103.80 : 114,156.49 = 33,986.03 : x
  2. Step 2: Convert to fraction form
    76,103.80/114,156.49 = 33,986.03/x
  3. Step 3: Cross multiply
    76,103.80x = 114,156.49 × 33,986.03
  4. Step 4: Simplify right side
    76,103.80x = 3,879,725,943.94
  5. Step 5: Solve for x
    x = 3,879,725,943.94/76,103.80
  6. Step 6: Final answer
    x = 50,979.40

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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.