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Finding the Fourth Proportional to 254,165.93, 381,251.63 and 76,674.48

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Solution

The fourth proportional to 254,165.93, 381,251.63 and 76,674.48 is: 115,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,165.93 : 381,251.63 = 76,674.48 : x
  2. Step 2: Convert to fraction form
    254,165.93/381,251.63 = 76,674.48/x
  3. Step 3: Cross multiply
    254,165.93x = 381,251.63 × 76,674.48
  4. Step 4: Simplify right side
    254,165.93x = 29,232,269,241.40
  5. Step 5: Solve for x
    x = 29,232,269,241.40/254,165.93
  6. Step 6: Final answer
    x = 115,012.54

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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.