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Finding the Fourth Proportional to 103,828.73, 155,633.73 and 53,855.78

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Solution

The fourth proportional to 103,828.73, 155,633.73 and 53,855.78 is: 80,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,828.73 : 155,633.73 = 53,855.78 : x
  2. Step 2: Convert to fraction form
    103,828.73/155,633.73 = 53,855.78/x
  3. Step 3: Cross multiply
    103,828.73x = 155,633.73 × 53,855.78
  4. Step 4: Simplify right side
    103,828.73x = 8,381,775,145.29
  5. Step 5: Solve for x
    x = 8,381,775,145.29/103,828.73
  6. Step 6: Final answer
    x = 80,726.94

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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.