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Finding the Fourth Proportional to 206,309.90, 309,466 and 93,911.52

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Solution

The fourth proportional to 206,309.90, 309,466 and 93,911.52 is: 140,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,309.90 : 309,466 = 93,911.52 : x
  2. Step 2: Convert to fraction form
    206,309.90/309,466 = 93,911.52/x
  3. Step 3: Cross multiply
    206,309.90x = 309,466 × 93,911.52
  4. Step 4: Simplify right side
    206,309.90x = 29,062,422,448.32
  5. Step 5: Solve for x
    x = 29,062,422,448.32/206,309.90
  6. Step 6: Final answer
    x = 140,867.80

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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.