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Finding the Fourth Proportional to 254,170.43, 381,258.39 and 76,678.98

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Solution

The fourth proportional to 254,170.43, 381,258.39 and 76,678.98 is: 115,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,170.43 : 381,258.39 = 76,678.98 : x
  2. Step 2: Convert to fraction form
    254,170.43/381,258.39 = 76,678.98/x
  3. Step 3: Cross multiply
    254,170.43x = 381,258.39 × 76,678.98
  4. Step 4: Simplify right side
    254,170.43x = 29,234,504,461.64
  5. Step 5: Solve for x
    x = 29,234,504,461.64/254,170.43
  6. Step 6: Final answer
    x = 115,019.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.