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Finding the Fourth Proportional to 129,544, 178,771.26 and 72,956.32

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Solution

The fourth proportional to 129,544, 178,771.26 and 72,956.32 is: 100,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,544 : 178,771.26 = 72,956.32 : x
  2. Step 2: Convert to fraction form
    129,544/178,771.26 = 72,956.32/x
  3. Step 3: Cross multiply
    129,544x = 178,771.26 × 72,956.32
  4. Step 4: Simplify right side
    129,544x = 13,042,493,251.36
  5. Step 5: Solve for x
    x = 13,042,493,251.36/129,544
  6. Step 6: Final answer
    x = 100,680.03

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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.