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Finding the Fourth Proportional to 133,874.50, 200,812.44 and 45,128.78

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Solution

The fourth proportional to 133,874.50, 200,812.44 and 45,128.78 is: 67,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,874.50 : 200,812.44 = 45,128.78 : x
  2. Step 2: Convert to fraction form
    133,874.50/200,812.44 = 45,128.78/x
  3. Step 3: Cross multiply
    133,874.50x = 200,812.44 × 45,128.78
  4. Step 4: Simplify right side
    133,874.50x = 9,062,420,426.02
  5. Step 5: Solve for x
    x = 9,062,420,426.02/133,874.50
  6. Step 6: Final answer
    x = 67,693.40

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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.