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Finding the Fourth Proportional to 209,218.20, 313,827.30 and 76,102.80

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Solution

The fourth proportional to 209,218.20, 313,827.30 and 76,102.80 is: 114,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,218.20 : 313,827.30 = 76,102.80 : x
  2. Step 2: Convert to fraction form
    209,218.20/313,827.30 = 76,102.80/x
  3. Step 3: Cross multiply
    209,218.20x = 313,827.30 × 76,102.80
  4. Step 4: Simplify right side
    209,218.20x = 23,883,136,246.44
  5. Step 5: Solve for x
    x = 23,883,136,246.44/209,218.20
  6. Step 6: Final answer
    x = 114,154.20

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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.