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Finding the Fourth Proportional to 133,685.80, 200,528.70 and 54,856.60

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Solution

The fourth proportional to 133,685.80, 200,528.70 and 54,856.60 is: 82,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,685.80 : 200,528.70 = 54,856.60 : x
  2. Step 2: Convert to fraction form
    133,685.80/200,528.70 = 54,856.60/x
  3. Step 3: Cross multiply
    133,685.80x = 200,528.70 × 54,856.60
  4. Step 4: Simplify right side
    133,685.80x = 11,000,322,684.42
  5. Step 5: Solve for x
    x = 11,000,322,684.42/133,685.80
  6. Step 6: Final answer
    x = 82,284.90

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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.