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Finding the Fourth Proportional to 76,109.88, 114,165.30 and 19,949.50

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Solution

The fourth proportional to 76,109.88, 114,165.30 and 19,949.50 is: 29,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,109.88 : 114,165.30 = 19,949.50 : x
  2. Step 2: Convert to fraction form
    76,109.88/114,165.30 = 19,949.50/x
  3. Step 3: Cross multiply
    76,109.88x = 114,165.30 × 19,949.50
  4. Step 4: Simplify right side
    76,109.88x = 2,277,540,652.35
  5. Step 5: Solve for x
    x = 2,277,540,652.35/76,109.88
  6. Step 6: Final answer
    x = 29,924.38

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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.