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Finding the Fourth Proportional to 106,317, 159,475.50 and 43,989.12

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Solution

The fourth proportional to 106,317, 159,475.50 and 43,989.12 is: 65,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,317 : 159,475.50 = 43,989.12 : x
  2. Step 2: Convert to fraction form
    106,317/159,475.50 = 43,989.12/x
  3. Step 3: Cross multiply
    106,317x = 159,475.50 × 43,989.12
  4. Step 4: Simplify right side
    106,317x = 7,015,186,906.56
  5. Step 5: Solve for x
    x = 7,015,186,906.56/106,317
  6. Step 6: Final answer
    x = 65,983.68

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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.