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Finding the Fourth Proportional to 209,218.70, 313,828.05 and 76,103.30

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Solution

The fourth proportional to 209,218.70, 313,828.05 and 76,103.30 is: 114,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,218.70 : 313,828.05 = 76,103.30 : x
  2. Step 2: Convert to fraction form
    209,218.70/313,828.05 = 76,103.30/x
  3. Step 3: Cross multiply
    209,218.70x = 313,828.05 × 76,103.30
  4. Step 4: Simplify right side
    209,218.70x = 23,883,350,237.57
  5. Step 5: Solve for x
    x = 23,883,350,237.57/209,218.70
  6. Step 6: Final answer
    x = 114,154.95

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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.