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Finding the Fourth Proportional to 206,657.60, 309,525.60 and 169,793.60

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Solution

The fourth proportional to 206,657.60, 309,525.60 and 169,793.60 is: 254,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657.60 : 309,525.60 = 169,793.60 : x
  2. Step 2: Convert to fraction form
    206,657.60/309,525.60 = 169,793.60/x
  3. Step 3: Cross multiply
    206,657.60x = 309,525.60 × 169,793.60
  4. Step 4: Simplify right side
    206,657.60x = 52,555,465,916.16
  5. Step 5: Solve for x
    x = 52,555,465,916.16/206,657.60
  6. Step 6: Final answer
    x = 254,311.80

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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.