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Finding the Fourth Proportional to 135,989.34, 203,758.20 and 83,288.04

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Solution

The fourth proportional to 135,989.34, 203,758.20 and 83,288.04 is: 124,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,989.34 : 203,758.20 = 83,288.04 : x
  2. Step 2: Convert to fraction form
    135,989.34/203,758.20 = 83,288.04/x
  3. Step 3: Cross multiply
    135,989.34x = 203,758.20 × 83,288.04
  4. Step 4: Simplify right side
    135,989.34x = 16,970,621,111.93
  5. Step 5: Solve for x
    x = 16,970,621,111.93/135,989.34
  6. Step 6: Final answer
    x = 124,793.76

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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.