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Finding the Fourth Proportional to 106,682.72, 159,912.90 and 43,475.40

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Solution

The fourth proportional to 106,682.72, 159,912.90 and 43,475.40 is: 65,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,682.72 : 159,912.90 = 43,475.40 : x
  2. Step 2: Convert to fraction form
    106,682.72/159,912.90 = 43,475.40/x
  3. Step 3: Cross multiply
    106,682.72x = 159,912.90 × 43,475.40
  4. Step 4: Simplify right side
    106,682.72x = 6,952,277,292.66
  5. Step 5: Solve for x
    x = 6,952,277,292.66/106,682.72
  6. Step 6: Final answer
    x = 65,167.79

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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.