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Finding the Fourth Proportional to 206,865.72, 310,292.38 and 57,115.16

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Solution

The fourth proportional to 206,865.72, 310,292.38 and 57,115.16 is: 85,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,865.72 : 310,292.38 = 57,115.16 : x
  2. Step 2: Convert to fraction form
    206,865.72/310,292.38 = 57,115.16/x
  3. Step 3: Cross multiply
    206,865.72x = 310,292.38 × 57,115.16
  4. Step 4: Simplify right side
    206,865.72x = 17,722,398,930.48
  5. Step 5: Solve for x
    x = 17,722,398,930.48/206,865.72
  6. Step 6: Final answer
    x = 85,671.03

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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.