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Finding the Fourth Proportional to 206,864.57, 310,290.66 and 57,114

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Solution

The fourth proportional to 206,864.57, 310,290.66 and 57,114 is: 85,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864.57 : 310,290.66 = 57,114 : x
  2. Step 2: Convert to fraction form
    206,864.57/310,290.66 = 57,114/x
  3. Step 3: Cross multiply
    206,864.57x = 310,290.66 × 57,114
  4. Step 4: Simplify right side
    206,864.57x = 17,721,940,469.67
  5. Step 5: Solve for x
    x = 17,721,940,469.67/206,864.57
  6. Step 6: Final answer
    x = 85,669.29

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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.