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Finding the Fourth Proportional to 206,081.60, 309,136.80 and 81,406.40

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Solution

The fourth proportional to 206,081.60, 309,136.80 and 81,406.40 is: 122,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,081.60 : 309,136.80 = 81,406.40 : x
  2. Step 2: Convert to fraction form
    206,081.60/309,136.80 = 81,406.40/x
  3. Step 3: Cross multiply
    206,081.60x = 309,136.80 × 81,406.40
  4. Step 4: Simplify right side
    206,081.60x = 25,165,713,995.52
  5. Step 5: Solve for x
    x = 25,165,713,995.52/206,081.60
  6. Step 6: Final answer
    x = 122,115.29

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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.