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Finding the Fourth Proportional to 206,507.60, 309,724.50 and 54,705.80

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Solution

The fourth proportional to 206,507.60, 309,724.50 and 54,705.80 is: 82,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,507.60 : 309,724.50 = 54,705.80 : x
  2. Step 2: Convert to fraction form
    206,507.60/309,724.50 = 54,705.80/x
  3. Step 3: Cross multiply
    206,507.60x = 309,724.50 × 54,705.80
  4. Step 4: Simplify right side
    206,507.60x = 16,943,726,552.10
  5. Step 5: Solve for x
    x = 16,943,726,552.10/206,507.60
  6. Step 6: Final answer
    x = 82,048.92

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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.