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Finding the Fourth Proportional to 129,609.50, 178,861.11 and 69,993.50

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Solution

The fourth proportional to 129,609.50, 178,861.11 and 69,993.50 is: 96,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,609.50 : 178,861.11 = 69,993.50 : x
  2. Step 2: Convert to fraction form
    129,609.50/178,861.11 = 69,993.50/x
  3. Step 3: Cross multiply
    129,609.50x = 178,861.11 × 69,993.50
  4. Step 4: Simplify right side
    129,609.50x = 12,519,115,102.79
  5. Step 5: Solve for x
    x = 12,519,115,102.79/129,609.50
  6. Step 6: Final answer
    x = 96,591.03

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Why These Related Problems?

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