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Finding the Fourth Proportional to 209,039.90, 313,469.13 and 75,875.90

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Solution

The fourth proportional to 209,039.90, 313,469.13 and 75,875.90 is: 113,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,039.90 : 313,469.13 = 75,875.90 : x
  2. Step 2: Convert to fraction form
    209,039.90/313,469.13 = 75,875.90/x
  3. Step 3: Cross multiply
    209,039.90x = 313,469.13 × 75,875.90
  4. Step 4: Simplify right side
    209,039.90x = 23,784,752,360.97
  5. Step 5: Solve for x
    x = 23,784,752,360.97/209,039.90
  6. Step 6: Final answer
    x = 113,780.92

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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.