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Finding the Fourth Proportional to 129,082.44, 178,136.06 and 71,727.06

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Solution

The fourth proportional to 129,082.44, 178,136.06 and 71,727.06 is: 98,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,082.44 : 178,136.06 = 71,727.06 : x
  2. Step 2: Convert to fraction form
    129,082.44/178,136.06 = 71,727.06/x
  3. Step 3: Cross multiply
    129,082.44x = 178,136.06 × 71,727.06
  4. Step 4: Simplify right side
    129,082.44x = 12,777,175,505.15
  5. Step 5: Solve for x
    x = 12,777,175,505.15/129,082.44
  6. Step 6: Final answer
    x = 98,984.61

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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.