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Finding the Fourth Proportional to 83,958.48, 115,850.40 and 48,150

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Solution

The fourth proportional to 83,958.48, 115,850.40 and 48,150 is: 66,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,958.48 : 115,850.40 = 48,150 : x
  2. Step 2: Convert to fraction form
    83,958.48/115,850.40 = 48,150/x
  3. Step 3: Cross multiply
    83,958.48x = 115,850.40 × 48,150
  4. Step 4: Simplify right side
    83,958.48x = 5,578,196,760
  5. Step 5: Solve for x
    x = 5,578,196,760/83,958.48
  6. Step 6: Final answer
    x = 66,439.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.