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Finding the Fourth Proportional to 254,170.59, 381,258.62 and 76,679.14

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Solution

The fourth proportional to 254,170.59, 381,258.62 and 76,679.14 is: 115,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,170.59 : 381,258.62 = 76,679.14 : x
  2. Step 2: Convert to fraction form
    254,170.59/381,258.62 = 76,679.14/x
  3. Step 3: Cross multiply
    254,170.59x = 381,258.62 × 76,679.14
  4. Step 4: Simplify right side
    254,170.59x = 29,234,583,099.19
  5. Step 5: Solve for x
    x = 29,234,583,099.19/254,170.59
  6. Step 6: Final answer
    x = 115,019.54

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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.