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Finding the Fourth Proportional to 208,786.86, 313,180.20 and 75,666.87

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Solution

The fourth proportional to 208,786.86, 313,180.20 and 75,666.87 is: 113,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,786.86 : 313,180.20 = 75,666.87 : x
  2. Step 2: Convert to fraction form
    208,786.86/313,180.20 = 75,666.87/x
  3. Step 3: Cross multiply
    208,786.86x = 313,180.20 × 75,666.87
  4. Step 4: Simplify right side
    208,786.86x = 23,697,365,479.97
  5. Step 5: Solve for x
    x = 23,697,365,479.97/208,786.86
  6. Step 6: Final answer
    x = 113,500.27

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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.