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Finding the Fourth Proportional to 189,591.92, 261,755.18 and 120,720.25

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Solution

The fourth proportional to 189,591.92, 261,755.18 and 120,720.25 is: 166,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,591.92 : 261,755.18 = 120,720.25 : x
  2. Step 2: Convert to fraction form
    189,591.92/261,755.18 = 120,720.25/x
  3. Step 3: Cross multiply
    189,591.92x = 261,755.18 × 120,720.25
  4. Step 4: Simplify right side
    189,591.92x = 31,599,150,768.40
  5. Step 5: Solve for x
    x = 31,599,150,768.40/189,591.92
  6. Step 6: Final answer
    x = 166,669.29

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1.5x scale

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.