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Finding the Fourth Proportional to 189,940.44, 284,976.18 and 71,645.64

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Solution

The fourth proportional to 189,940.44, 284,976.18 and 71,645.64 is: 107,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,940.44 : 284,976.18 = 71,645.64 : x
  2. Step 2: Convert to fraction form
    189,940.44/284,976.18 = 71,645.64/x
  3. Step 3: Cross multiply
    189,940.44x = 284,976.18 × 71,645.64
  4. Step 4: Simplify right side
    189,940.44x = 20,417,300,800.86
  5. Step 5: Solve for x
    x = 20,417,300,800.86/189,940.44
  6. Step 6: Final answer
    x = 107,493.17

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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.