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Finding the Fourth Proportional to 133,584.64, 200,314.67 and 77,440.82

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Solution

The fourth proportional to 133,584.64, 200,314.67 and 77,440.82 is: 116,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,584.64 : 200,314.67 = 77,440.82 : x
  2. Step 2: Convert to fraction form
    133,584.64/200,314.67 = 77,440.82/x
  3. Step 3: Cross multiply
    133,584.64x = 200,314.67 × 77,440.82
  4. Step 4: Simplify right side
    133,584.64x = 15,512,530,914.05
  5. Step 5: Solve for x
    x = 15,512,530,914.05/133,584.64
  6. Step 6: Final answer
    x = 116,125.11

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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.