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Finding the Fourth Proportional to 205,315.97, 308,520.68 and 110,618.87

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Solution

The fourth proportional to 205,315.97, 308,520.68 and 110,618.87 is: 166,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,315.97 : 308,520.68 = 110,618.87 : x
  2. Step 2: Convert to fraction form
    205,315.97/308,520.68 = 110,618.87/x
  3. Step 3: Cross multiply
    205,315.97x = 308,520.68 × 110,618.87
  4. Step 4: Simplify right side
    205,315.97x = 34,128,206,897.53
  5. Step 5: Solve for x
    x = 34,128,206,897.53/205,315.97
  6. Step 6: Final answer
    x = 166,222.86

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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.