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Finding the Fourth Proportional to 208,658.53, 312,991.04 and 50,889.97

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Solution

The fourth proportional to 208,658.53, 312,991.04 and 50,889.97 is: 76,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,658.53 : 312,991.04 = 50,889.97 : x
  2. Step 2: Convert to fraction form
    208,658.53/312,991.04 = 50,889.97/x
  3. Step 3: Cross multiply
    208,658.53x = 312,991.04 × 50,889.97
  4. Step 4: Simplify right side
    208,658.53x = 15,928,104,381.42
  5. Step 5: Solve for x
    x = 15,928,104,381.42/208,658.53
  6. Step 6: Final answer
    x = 76,335.75

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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.