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Finding the Fourth Proportional to 129,224.69, 178,255.69 and 80,742.53

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Solution

The fourth proportional to 129,224.69, 178,255.69 and 80,742.53 is: 111,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,224.69 : 178,255.69 = 80,742.53 : x
  2. Step 2: Convert to fraction form
    129,224.69/178,255.69 = 80,742.53/x
  3. Step 3: Cross multiply
    129,224.69x = 178,255.69 × 80,742.53
  4. Step 4: Simplify right side
    129,224.69x = 14,392,814,993.78
  5. Step 5: Solve for x
    x = 14,392,814,993.78/129,224.69
  6. Step 6: Final answer
    x = 111,378.21

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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.