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Finding the Fourth Proportional to 133,489.10, 200,233.65 and 83,722.70

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Solution

The fourth proportional to 133,489.10, 200,233.65 and 83,722.70 is: 125,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,489.10 : 200,233.65 = 83,722.70 : x
  2. Step 2: Convert to fraction form
    133,489.10/200,233.65 = 83,722.70/x
  3. Step 3: Cross multiply
    133,489.10x = 200,233.65 × 83,722.70
  4. Step 4: Simplify right side
    133,489.10x = 16,764,101,808.86
  5. Step 5: Solve for x
    x = 16,764,101,808.86/133,489.10
  6. Step 6: Final answer
    x = 125,584.05

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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.