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Finding the Fourth Proportional to 189,385.20, 284,010.60 and 84,015.60

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Solution

The fourth proportional to 189,385.20, 284,010.60 and 84,015.60 is: 125,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,385.20 : 284,010.60 = 84,015.60 : x
  2. Step 2: Convert to fraction form
    189,385.20/284,010.60 = 84,015.60/x
  3. Step 3: Cross multiply
    189,385.20x = 284,010.60 × 84,015.60
  4. Step 4: Simplify right side
    189,385.20x = 23,861,320,965.36
  5. Step 5: Solve for x
    x = 23,861,320,965.36/189,385.20
  6. Step 6: Final answer
    x = 125,993.59

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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.