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Finding the Fourth Proportional to 76,805.84, 115,204.92 and 30,067.28

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Solution

The fourth proportional to 76,805.84, 115,204.92 and 30,067.28 is: 45,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,805.84 : 115,204.92 = 30,067.28 : x
  2. Step 2: Convert to fraction form
    76,805.84/115,204.92 = 30,067.28/x
  3. Step 3: Cross multiply
    76,805.84x = 115,204.92 × 30,067.28
  4. Step 4: Simplify right side
    76,805.84x = 3,463,898,587.02
  5. Step 5: Solve for x
    x = 3,463,898,587.02/76,805.84
  6. Step 6: Final answer
    x = 45,099.42

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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.