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Finding the Fourth Proportional to 206,687.60, 309,570.60 and 169,823.60

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Solution

The fourth proportional to 206,687.60, 309,570.60 and 169,823.60 is: 254,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,687.60 : 309,570.60 = 169,823.60 : x
  2. Step 2: Convert to fraction form
    206,687.60/309,570.60 = 169,823.60/x
  3. Step 3: Cross multiply
    206,687.60x = 309,570.60 × 169,823.60
  4. Step 4: Simplify right side
    206,687.60x = 52,572,393,746.16
  5. Step 5: Solve for x
    x = 52,572,393,746.16/206,687.60
  6. Step 6: Final answer
    x = 254,356.79

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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.