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Finding the Fourth Proportional to 208,659.28, 312,992.16 and 50,890.72

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Solution

The fourth proportional to 208,659.28, 312,992.16 and 50,890.72 is: 76,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,659.28 : 312,992.16 = 50,890.72 : x
  2. Step 2: Convert to fraction form
    208,659.28/312,992.16 = 50,890.72/x
  3. Step 3: Cross multiply
    208,659.28x = 312,992.16 × 50,890.72
  4. Step 4: Simplify right side
    208,659.28x = 15,928,396,376.76
  5. Step 5: Solve for x
    x = 15,928,396,376.76/208,659.28
  6. Step 6: Final answer
    x = 76,336.87

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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.