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Finding the Fourth Proportional to 208,658.28, 312,990.66 and 50,889.72

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Solution

The fourth proportional to 208,658.28, 312,990.66 and 50,889.72 is: 76,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,658.28 : 312,990.66 = 50,889.72 : x
  2. Step 2: Convert to fraction form
    208,658.28/312,990.66 = 50,889.72/x
  3. Step 3: Cross multiply
    208,658.28x = 312,990.66 × 50,889.72
  4. Step 4: Simplify right side
    208,658.28x = 15,928,007,050.02
  5. Step 5: Solve for x
    x = 15,928,007,050.02/208,658.28
  6. Step 6: Final answer
    x = 76,335.37

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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.