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Finding the Fourth Proportional to 254,517.60, 381,679.20 and 76,965.60

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Solution

The fourth proportional to 254,517.60, 381,679.20 and 76,965.60 is: 115,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,517.60 : 381,679.20 = 76,965.60 : x
  2. Step 2: Convert to fraction form
    254,517.60/381,679.20 = 76,965.60/x
  3. Step 3: Cross multiply
    254,517.60x = 381,679.20 × 76,965.60
  4. Step 4: Simplify right side
    254,517.60x = 29,376,168,635.52
  5. Step 5: Solve for x
    x = 29,376,168,635.52/254,517.60
  6. Step 6: Final answer
    x = 115,419.01

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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.