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Finding the Fourth Proportional to 129,696.72, 178,972.92 and 73,106.88

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Solution

The fourth proportional to 129,696.72, 178,972.92 and 73,106.88 is: 100,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,696.72 : 178,972.92 = 73,106.88 : x
  2. Step 2: Convert to fraction form
    129,696.72/178,972.92 = 73,106.88/x
  3. Step 3: Cross multiply
    129,696.72x = 178,972.92 × 73,106.88
  4. Step 4: Simplify right side
    129,696.72x = 13,084,151,785.69
  5. Step 5: Solve for x
    x = 13,084,151,785.69/129,696.72
  6. Step 6: Final answer
    x = 100,882.67

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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.