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Finding the Fourth Proportional to 206,397.99, 309,597.32 and 56,640.33

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Solution

The fourth proportional to 206,397.99, 309,597.32 and 56,640.33 is: 84,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397.99 : 309,597.32 = 56,640.33 : x
  2. Step 2: Convert to fraction form
    206,397.99/309,597.32 = 56,640.33/x
  3. Step 3: Cross multiply
    206,397.99x = 309,597.32 × 56,640.33
  4. Step 4: Simplify right side
    206,397.99x = 17,535,694,371.92
  5. Step 5: Solve for x
    x = 17,535,694,371.92/206,397.99
  6. Step 6: Final answer
    x = 84,960.59

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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.