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Finding the Fourth Proportional to 206,122.89, 308,781.67 and 142,069.65

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Solution

The fourth proportional to 206,122.89, 308,781.67 and 142,069.65 is: 212,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,122.89 : 308,781.67 = 142,069.65 : x
  2. Step 2: Convert to fraction form
    206,122.89/308,781.67 = 142,069.65/x
  3. Step 3: Cross multiply
    206,122.89x = 308,781.67 × 142,069.65
  4. Step 4: Simplify right side
    206,122.89x = 43,868,503,783.32
  5. Step 5: Solve for x
    x = 43,868,503,783.32/206,122.89
  6. Step 6: Final answer
    x = 212,826.94

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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.