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Finding the Fourth Proportional to 133,471.80, 200,207.70 and 128,806.20

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Solution

The fourth proportional to 133,471.80, 200,207.70 and 128,806.20 is: 193,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,471.80 : 200,207.70 = 128,806.20 : x
  2. Step 2: Convert to fraction form
    133,471.80/200,207.70 = 128,806.20/x
  3. Step 3: Cross multiply
    133,471.80x = 200,207.70 × 128,806.20
  4. Step 4: Simplify right side
    133,471.80x = 25,787,993,047.74
  5. Step 5: Solve for x
    x = 25,787,993,047.74/133,471.80
  6. Step 6: Final answer
    x = 193,209.30

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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.