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Finding the Fourth Proportional to 206,396.99, 309,595.82 and 56,639.33

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Solution

The fourth proportional to 206,396.99, 309,595.82 and 56,639.33 is: 84,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,396.99 : 309,595.82 = 56,639.33 : x
  2. Step 2: Convert to fraction form
    206,396.99/309,595.82 = 56,639.33/x
  3. Step 3: Cross multiply
    206,396.99x = 309,595.82 × 56,639.33
  4. Step 4: Simplify right side
    206,396.99x = 17,535,297,984.42
  5. Step 5: Solve for x
    x = 17,535,297,984.42/206,396.99
  6. Step 6: Final answer
    x = 84,959.08

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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.