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Finding the Fourth Proportional to 133,195, 183,806.07 and 72,765.90

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Solution

The fourth proportional to 133,195, 183,806.07 and 72,765.90 is: 100,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,195 : 183,806.07 = 72,765.90 : x
  2. Step 2: Convert to fraction form
    133,195/183,806.07 = 72,765.90/x
  3. Step 3: Cross multiply
    133,195x = 183,806.07 × 72,765.90
  4. Step 4: Simplify right side
    133,195x = 13,374,814,109.01
  5. Step 5: Solve for x
    x = 13,374,814,109.01/133,195
  6. Step 6: Final answer
    x = 100,415.29

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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.