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Finding the Fourth Proportional to 209,898.20, 314,847.30 and 76,782.80

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Solution

The fourth proportional to 209,898.20, 314,847.30 and 76,782.80 is: 115,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,898.20 : 314,847.30 = 76,782.80 : x
  2. Step 2: Convert to fraction form
    209,898.20/314,847.30 = 76,782.80/x
  3. Step 3: Cross multiply
    209,898.20x = 314,847.30 × 76,782.80
  4. Step 4: Simplify right side
    209,898.20x = 24,174,857,266.44
  5. Step 5: Solve for x
    x = 24,174,857,266.44/209,898.20
  6. Step 6: Final answer
    x = 115,174.20

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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.