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Finding the Fourth Proportional to 129,067, 178,106.24 and 71,709.96

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Solution

The fourth proportional to 129,067, 178,106.24 and 71,709.96 is: 98,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,067 : 178,106.24 = 71,709.96 : x
  2. Step 2: Convert to fraction form
    129,067/178,106.24 = 71,709.96/x
  3. Step 3: Cross multiply
    129,067x = 178,106.24 × 71,709.96
  4. Step 4: Simplify right side
    129,067x = 12,771,991,346.15
  5. Step 5: Solve for x
    x = 12,771,991,346.15/129,067
  6. Step 6: Final answer
    x = 98,956.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.