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Finding the Fourth Proportional to 206,805.42, 310,229.69 and 57,045.73

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Solution

The fourth proportional to 206,805.42, 310,229.69 and 57,045.73 is: 85,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,805.42 : 310,229.69 = 57,045.73 : x
  2. Step 2: Convert to fraction form
    206,805.42/310,229.69 = 57,045.73/x
  3. Step 3: Cross multiply
    206,805.42x = 310,229.69 × 57,045.73
  4. Step 4: Simplify right side
    206,805.42x = 17,697,279,133.72
  5. Step 5: Solve for x
    x = 17,697,279,133.72/206,805.42
  6. Step 6: Final answer
    x = 85,574.54

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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.