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Finding the Fourth Proportional to 103,881.32, 155,960.22 and 54,667.88

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Solution

The fourth proportional to 103,881.32, 155,960.22 and 54,667.88 is: 82,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,881.32 : 155,960.22 = 54,667.88 : x
  2. Step 2: Convert to fraction form
    103,881.32/155,960.22 = 54,667.88/x
  3. Step 3: Cross multiply
    103,881.32x = 155,960.22 × 54,667.88
  4. Step 4: Simplify right side
    103,881.32x = 8,526,014,591.73
  5. Step 5: Solve for x
    x = 8,526,014,591.73/103,881.32
  6. Step 6: Final answer
    x = 82,074.57

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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.