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Finding the Fourth Proportional to 189,727.92, 284,674.44 and 89,958

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Solution

The fourth proportional to 189,727.92, 284,674.44 and 89,958 is: 134,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,727.92 : 284,674.44 = 89,958 : x
  2. Step 2: Convert to fraction form
    189,727.92/284,674.44 = 89,958/x
  3. Step 3: Cross multiply
    189,727.92x = 284,674.44 × 89,958
  4. Step 4: Simplify right side
    189,727.92x = 25,608,743,273.52
  5. Step 5: Solve for x
    x = 25,608,743,273.52/189,727.92
  6. Step 6: Final answer
    x = 134,976.15

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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.