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Finding the Fourth Proportional to 208,793.70, 313,189.34 and 75,642.86

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Solution

The fourth proportional to 208,793.70, 313,189.34 and 75,642.86 is: 113,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,793.70 : 313,189.34 = 75,642.86 : x
  2. Step 2: Convert to fraction form
    208,793.70/313,189.34 = 75,642.86/x
  3. Step 3: Cross multiply
    208,793.70x = 313,189.34 × 75,642.86
  4. Step 4: Simplify right side
    208,793.70x = 23,690,537,803.87
  5. Step 5: Solve for x
    x = 23,690,537,803.87/208,793.70
  6. Step 6: Final answer
    x = 113,463.85

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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.