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Finding the Fourth Proportional to 133,856.56, 200,821.56 and 108,834.40

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Solution

The fourth proportional to 133,856.56, 200,821.56 and 108,834.40 is: 163,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,856.56 : 200,821.56 = 108,834.40 : x
  2. Step 2: Convert to fraction form
    133,856.56/200,821.56 = 108,834.40/x
  3. Step 3: Cross multiply
    133,856.56x = 200,821.56 × 108,834.40
  4. Step 4: Simplify right side
    133,856.56x = 21,856,293,989.66
  5. Step 5: Solve for x
    x = 21,856,293,989.66/133,856.56
  6. Step 6: Final answer
    x = 163,281.46

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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.