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Finding the Fourth Proportional to 206,910.42, 310,359.48 and 57,159.72

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Solution

The fourth proportional to 206,910.42, 310,359.48 and 57,159.72 is: 85,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,910.42 : 310,359.48 = 57,159.72 : x
  2. Step 2: Convert to fraction form
    206,910.42/310,359.48 = 57,159.72/x
  3. Step 3: Cross multiply
    206,910.42x = 310,359.48 × 57,159.72
  4. Step 4: Simplify right side
    206,910.42x = 17,740,060,976.15
  5. Step 5: Solve for x
    x = 17,740,060,976.15/206,910.42
  6. Step 6: Final answer
    x = 85,737.88

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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.