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Finding the Fourth Proportional to 111,911.97, 154,449.68 and 83,568.45

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Solution

The fourth proportional to 111,911.97, 154,449.68 and 83,568.45 is: 115,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,911.97 : 154,449.68 = 83,568.45 : x
  2. Step 2: Convert to fraction form
    111,911.97/154,449.68 = 83,568.45/x
  3. Step 3: Cross multiply
    111,911.97x = 154,449.68 × 83,568.45
  4. Step 4: Simplify right side
    111,911.97x = 12,907,119,942.75
  5. Step 5: Solve for x
    x = 12,907,119,942.75/111,911.97
  6. Step 6: Final answer
    x = 115,332.79

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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.