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Finding the Fourth Proportional to 133,205.75, 183,824.07 and 72,777.39

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Solution

The fourth proportional to 133,205.75, 183,824.07 and 72,777.39 is: 100,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,205.75 : 183,824.07 = 72,777.39 : x
  2. Step 2: Convert to fraction form
    133,205.75/183,824.07 = 72,777.39/x
  3. Step 3: Cross multiply
    133,205.75x = 183,824.07 × 72,777.39
  4. Step 4: Simplify right side
    133,205.75x = 13,378,236,033.78
  5. Step 5: Solve for x
    x = 13,378,236,033.78/133,205.75
  6. Step 6: Final answer
    x = 100,432.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.