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Finding the Fourth Proportional to 106,321, 159,481.50 and 43,993.12

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Solution

The fourth proportional to 106,321, 159,481.50 and 43,993.12 is: 65,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,321 : 159,481.50 = 43,993.12 : x
  2. Step 2: Convert to fraction form
    106,321/159,481.50 = 43,993.12/x
  3. Step 3: Cross multiply
    106,321x = 159,481.50 × 43,993.12
  4. Step 4: Simplify right side
    106,321x = 7,016,088,767.28
  5. Step 5: Solve for x
    x = 7,016,088,767.28/106,321
  6. Step 6: Final answer
    x = 65,989.68

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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.