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Finding the Fourth Proportional to 206,859.56, 310,283.16 and 57,108.98

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Solution

The fourth proportional to 206,859.56, 310,283.16 and 57,108.98 is: 85,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,859.56 : 310,283.16 = 57,108.98 : x
  2. Step 2: Convert to fraction form
    206,859.56/310,283.16 = 57,108.98/x
  3. Step 3: Cross multiply
    206,859.56x = 310,283.16 × 57,108.98
  4. Step 4: Simplify right side
    206,859.56x = 17,719,954,778.78
  5. Step 5: Solve for x
    x = 17,719,954,778.78/206,859.56
  6. Step 6: Final answer
    x = 85,661.76

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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.