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Finding the Fourth Proportional to 89,839.70, 134,771.88 and 30,659.48

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Solution

The fourth proportional to 89,839.70, 134,771.88 and 30,659.48 is: 45,993.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,839.70 : 134,771.88 = 30,659.48 : x
  2. Step 2: Convert to fraction form
    89,839.70/134,771.88 = 30,659.48/x
  3. Step 3: Cross multiply
    89,839.70x = 134,771.88 × 30,659.48
  4. Step 4: Simplify right side
    89,839.70x = 4,132,035,759.42
  5. Step 5: Solve for x
    x = 4,132,035,759.42/89,839.70
  6. Step 6: Final answer
    x = 45,993.43

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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.