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Finding the Fourth Proportional to 206,471.64, 309,612.42 and 81,727.32

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Solution

The fourth proportional to 206,471.64, 309,612.42 and 81,727.32 is: 122,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,471.64 : 309,612.42 = 81,727.32 : x
  2. Step 2: Convert to fraction form
    206,471.64/309,612.42 = 81,727.32/x
  3. Step 3: Cross multiply
    206,471.64x = 309,612.42 × 81,727.32
  4. Step 4: Simplify right side
    206,471.64x = 25,303,793,325.31
  5. Step 5: Solve for x
    x = 25,303,793,325.31/206,471.64
  6. Step 6: Final answer
    x = 122,553.36

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1.5x scale

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.