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Finding the Fourth Proportional to 254,630.38, 381,986.89 and 86,161.06

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Solution

The fourth proportional to 254,630.38, 381,986.89 and 86,161.06 is: 129,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,630.38 : 381,986.89 = 86,161.06 : x
  2. Step 2: Convert to fraction form
    254,630.38/381,986.89 = 86,161.06/x
  3. Step 3: Cross multiply
    254,630.38x = 381,986.89 × 86,161.06
  4. Step 4: Simplify right side
    254,630.38x = 32,912,395,348.50
  5. Step 5: Solve for x
    x = 32,912,395,348.50/254,630.38
  6. Step 6: Final answer
    x = 129,255.57

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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.