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Finding the Fourth Proportional to 254,173.92, 381,263.64 and 76,682.48

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Solution

The fourth proportional to 254,173.92, 381,263.64 and 76,682.48 is: 115,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,173.92 : 381,263.64 = 76,682.48 : x
  2. Step 2: Convert to fraction form
    254,173.92/381,263.64 = 76,682.48/x
  3. Step 3: Cross multiply
    254,173.92x = 381,263.64 × 76,682.48
  4. Step 4: Simplify right side
    254,173.92x = 29,236,241,449.03
  5. Step 5: Solve for x
    x = 29,236,241,449.03/254,173.92
  6. Step 6: Final answer
    x = 115,024.55

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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.