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Finding the Fourth Proportional to 133,874.16, 200,812.68 and 40,380.72

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Solution

The fourth proportional to 133,874.16, 200,812.68 and 40,380.72 is: 60,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,874.16 : 200,812.68 = 40,380.72 : x
  2. Step 2: Convert to fraction form
    133,874.16/200,812.68 = 40,380.72/x
  3. Step 3: Cross multiply
    133,874.16x = 200,812.68 × 40,380.72
  4. Step 4: Simplify right side
    133,874.16x = 8,108,960,603.53
  5. Step 5: Solve for x
    x = 8,108,960,603.53/133,874.16
  6. Step 6: Final answer
    x = 60,571.51

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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.