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Finding the Fourth Proportional to 135,469.50, 202,380.34 and 87,695.40

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Solution

The fourth proportional to 135,469.50, 202,380.34 and 87,695.40 is: 131,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,469.50 : 202,380.34 = 87,695.40 : x
  2. Step 2: Convert to fraction form
    135,469.50/202,380.34 = 87,695.40/x
  3. Step 3: Cross multiply
    135,469.50x = 202,380.34 × 87,695.40
  4. Step 4: Simplify right side
    135,469.50x = 17,747,824,868.44
  5. Step 5: Solve for x
    x = 17,747,824,868.44/135,469.50
  6. Step 6: Final answer
    x = 131,009.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.