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Finding the Fourth Proportional to 206,911.82, 310,361.52 and 57,161.07

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Solution

The fourth proportional to 206,911.82, 310,361.52 and 57,161.07 is: 85,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,911.82 : 310,361.52 = 57,161.07 : x
  2. Step 2: Convert to fraction form
    206,911.82/310,361.52 = 57,161.07/x
  3. Step 3: Cross multiply
    206,911.82x = 310,361.52 × 57,161.07
  4. Step 4: Simplify right side
    206,911.82x = 17,740,596,570.03
  5. Step 5: Solve for x
    x = 17,740,596,570.03/206,911.82
  6. Step 6: Final answer
    x = 85,739.89

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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.