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Finding the Fourth Proportional to 206,001.60, 309,002.40 and 65,764.80

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Solution

The fourth proportional to 206,001.60, 309,002.40 and 65,764.80 is: 98,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,001.60 : 309,002.40 = 65,764.80 : x
  2. Step 2: Convert to fraction form
    206,001.60/309,002.40 = 65,764.80/x
  3. Step 3: Cross multiply
    206,001.60x = 309,002.40 × 65,764.80
  4. Step 4: Simplify right side
    206,001.60x = 20,321,481,035.52
  5. Step 5: Solve for x
    x = 20,321,481,035.52/206,001.60
  6. Step 6: Final answer
    x = 98,647.20

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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.