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Finding the Fourth Proportional to 206,505.60, 309,721.50 and 54,703.80

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Solution

The fourth proportional to 206,505.60, 309,721.50 and 54,703.80 is: 82,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,505.60 : 309,721.50 = 54,703.80 : x
  2. Step 2: Convert to fraction form
    206,505.60/309,721.50 = 54,703.80/x
  3. Step 3: Cross multiply
    206,505.60x = 309,721.50 × 54,703.80
  4. Step 4: Simplify right side
    206,505.60x = 16,942,942,991.70
  5. Step 5: Solve for x
    x = 16,942,942,991.70/206,505.60
  6. Step 6: Final answer
    x = 82,045.93

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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.