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Finding the Fourth Proportional to 129,067, 193,607.79 and 45,961

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Solution

The fourth proportional to 129,067, 193,607.79 and 45,961 is: 68,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,067 : 193,607.79 = 45,961 : x
  2. Step 2: Convert to fraction form
    129,067/193,607.79 = 45,961/x
  3. Step 3: Cross multiply
    129,067x = 193,607.79 × 45,961
  4. Step 4: Simplify right side
    129,067x = 8,898,407,636.19
  5. Step 5: Solve for x
    x = 8,898,407,636.19/129,067
  6. Step 6: Final answer
    x = 68,944.10

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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.